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2222154512440 = 235172971197969
BaseRepresentation
bin100000010101100010101…
…110101111100000111000
321212102202202202101011021
4200111202232233200320
5242401433023344230
64420502123112224
7316355026463242
oct40254256574070
97772682671137
102222154512440
117874573220a5
122ba803072674
131317187242b5
14797a5053092
153cc0b401c7a
hex20562baf838

2222154512440 has 96 divisors (see below), whose sum is σ = 5316753589200. Its totient is φ = 835710033920.

The previous prime is 2222154512419. The next prime is 2222154512447. The reversal of 2222154512440 is 442154512222.

It is a super-2 number, since 2×22221545124402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2222154512396 and 2222154512405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222154512447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11125776 + ... + 11323744.

Almost surely, 22222154512440 is an apocalyptic number.

2222154512440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222154512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658376794600).

2222154512440 is an abundant number, since it is smaller than the sum of its proper divisors (3094599076760).

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

2222154512440 is a wasteful number, since it uses less digits than its factorization.

2222154512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198985 (or 198964 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 2222154512440 in words is "two trillion, two hundred twenty-two billion, one hundred fifty-four million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 971 1156 1445 1942 2312 2890 3884 4855 5780 7768 9710 11560 16507 19420 33014 38840 66028 82535 132056 165070 197969 280619 330140 395938 561238 660280 791876 989845 1122476 1403095 1583752 1979690 2244952 2806190 3365473 3959380 5612380 6730946 7918760 11224760 13461892 16827365 26923784 33654730 57213041 67309460 114426082 134618920 192227899 228852164 286065205 384455798 457704328 572130410 768911596 961139495 1144260820 1537823192 1922278990 2288521640 3267874283 3844557980 6535748566 7689115960 13071497132 16339371415 26142994264 32678742830 55553862811 65357485660 111107725622 130714971320 222215451244 277769314055 444430902488 555538628110 1111077256220 2222154512440