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23345224155225 = 335272705826883
BaseRepresentation
bin1010100111011011110111…
…10010110000000001011001
310001122210002210212221002000
411103231323302300001121
511024442004340431400
6121352351541231213
74626431263130400
oct523557362600131
9101583083787060
1023345224155225
117490721477205
122750564402509
1310045a31174ab
145a9cb45d4637
152a73e2203600
hex153b7bcb0059

23345224155225 has 72 divisors (see below), whose sum is σ = 49887844161120. Its totient is φ = 10672102455840.

The previous prime is 23345224155161. The next prime is 23345224155259. The reversal of 23345224155225 is 52255142254332.

23345224155225 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 5 + 2 + 2 + 415 + 5 + 225 = 666.

It is not a de Polignac number, because 23345224155225 - 26 = 23345224155161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 352880367 + ... + 352946516.

It is an arithmetic number, because the mean of its divisors is an integer number (692886724460).

Almost surely, 223345224155225 is an apocalyptic number.

23345224155225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23345224155225 is an abundant number, since it is smaller than the sum of its proper divisors (26542620005895).

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

23345224155225 is a wasteful number, since it uses less digits than its factorization.

23345224155225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705826916 (or 705826898 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

The spelling of 23345224155225 in words is "twenty-three trillion, three hundred forty-five billion, two hundred twenty-four million, one hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 525 675 735 945 1225 1323 1575 2205 3675 4725 6615 11025 33075 705826883 2117480649 3529134415 4940788181 6352441947 10587403245 14822364543 17645672075 19057325841 24703940905 31762209735 34585517267 44467093629 52937016225 74111822715 95286629205 103756551801 123519704525 133401280887 158811048675 172927586335 222335468145 311269655403 370559113575 476433146025 518782759005 667006404435 864637931675 933808966209 1111677340725 1556348277015 2593913795025 3335032022175 4669044831045 7781741385075 23345224155225