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2196132222240 = 2532511138644711
BaseRepresentation
bin11111111101010011101…
…011100101010100100000
321202221121020020001211100
4133331103223211110200
5241440134322102430
64400520023114400
7314444126613045
oct37752353452440
97687536201740
102196132222240
11777413428340
122b57602a2a00
1312c12c477c48
1478416dd91cc
153c1d6ae8960
hex1ff53ae5520

2196132222240 has 144 divisors (see below), whose sum is σ = 8175601377216. Its totient is φ = 532395686400.

The previous prime is 2196132222233. The next prime is 2196132222247. The reversal of 2196132222240 is 422222316912.

2196132222240 is a `hidden beast` number, since 2 + 1 + 96 + 1 + 322 + 2 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (2196132222233) and next prime (2196132222247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2196132222195 and 2196132222204.

It is not an unprimeable number, because it can be changed into a prime (2196132222247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69306516 + ... + 69338195.

It is an arithmetic number, because the mean of its divisors is an integer number (56775009564).

Almost surely, 22196132222240 is an apocalyptic number.

2196132222240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2196132222240 is an abundant number, since it is smaller than the sum of its proper divisors (5979469154976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2196132222240 is a wasteful number, since it uses less digits than its factorization.

2196132222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138644743 (or 138644732 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2196132222240 in words is "two trillion, one hundred ninety-six billion, one hundred thirty-two million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 138644711 277289422 415934133 554578844 693223555 831868266 1109157688 1247802399 1386447110 1525091821 1663736532 2079670665 2218315376 2495604798 2772894220 3050183642 3327473064 4159341330 4436630752 4575275463 4991209596 5545788440 6100367284 6239011995 6654946128 7625459105 8318682660 9150550926 9982419192 11091576880 12200734568 12478023990 13309892256 13725826389 15250918210 16637365320 18301101852 19964838384 22183153760 22876377315 24401469136 24956047980 27451652778 30501836420 33274730640 36602203704 39929676768 45752754630 48802938272 49912095960 54903305556 61003672840 66549461280 68629131945 73204407408 91505509260 99824191920 109806611112 122007345680 137258263890 146408814816 183011018520 199648383840 219613222224 244014691360 274516527780 366022037040 439226444448 549033055560 732044074080 1098066111120 2196132222240