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2104225440 = 253531141413
BaseRepresentation
bin111110101101011…
…1110111010100000
312102122110201122120
41331122332322200
513302140203230
6544444504240
7103100423022
oct17532767240
95378421576
102104225440
1198a864799
124a884b080
13276c3a215
1415d66a012
15c4aee310
hex7d6beea0

2104225440 has 96 divisors (see below), whose sum is σ = 6842174976. Its totient is φ = 543022080.

The previous prime is 2104225427. The next prime is 2104225481. The reversal of 2104225440 is 445224012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2104225440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55827 + ... + 85586.

It is an arithmetic number, because the mean of its divisors is an integer number (71272656).

Almost surely, 22104225440 is an apocalyptic number.

2104225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104225440 is an abundant number, since it is smaller than the sum of its proper divisors (4737949536).

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

2104225440 is a wasteful number, since it uses less digits than its factorization.

2104225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141462 (or 141454 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2104225440 is about 45871.8371116745. The cubic root of 2104225440 is about 1281.4374801126.

Adding to 2104225440 its reverse (445224012), we get a palindrome (2549449452).

The spelling of 2104225440 in words is "two billion, one hundred four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 141413 282826 424239 565652 707065 848478 1131304 1414130 1696956 2121195 2262608 2828260 3393912 4242390 4383803 4525216 5656520 6787824 8484780 8767606 11313040 13151409 13575648 16969560 17535212 21919015 22626080 26302818 33939120 35070424 43838030 52605636 65757045 67878240 70140848 87676060 105211272 131514090 140281696 175352120 210422544 263028180 350704240 420845088 526056360 701408480 1052112720 2104225440