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225443264432 = 24177993711197
BaseRepresentation
bin1101000111110101110…
…1110011011110110000
3210112220112021102210112
43101331131303132300
512143201433430212
6251322303320452
722200460062341
oct3217535633660
9715815242715
10225443264432
1187678933371
12378385b0128
131834a634629
14aca92920c8
155ce7004422
hex347d7737b0

225443264432 has 80 divisors (see below), whose sum is σ = 468886239360. Its totient is φ = 104626888704.

The previous prime is 225443264419. The next prime is 225443264509. The reversal of 225443264432 is 234462344522.

It is a self number, because there is not a number n which added to its sum of digits gives 225443264432.

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 15 ways as a sum of consecutive naturals, for example, 20128658 + ... + 20139854.

It is an arithmetic number, because the mean of its divisors is an integer number (5861077992).

Almost surely, 2225443264432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225443264432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234443119680).

225443264432 is an abundant number, since it is smaller than the sum of its proper divisors (243442974928).

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

225443264432 is a wasteful number, since it uses less digits than its factorization.

225443264432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238 (or 12232 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 41.

The spelling of 225443264432 in words is "two hundred twenty-five billion, four hundred forty-three million, two hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 937 1264 1343 1874 2686 3748 5372 7496 10744 11197 14992 15929 21488 22394 31858 44788 63716 74023 89576 127432 148046 179152 190349 254864 296092 380698 592184 761396 884563 1184368 1258391 1522792 1769126 2516782 3045584 3538252 5033564 7076504 10067128 10491589 14153008 15037571 20134256 20983178 30075142 41966356 60150284 83932712 120300568 167865424 178357013 240601136 356714026 713428052 828835531 1426856104 1657671062 2853712208 3315342124 6630684248 13261368496 14090204027 28180408054 56360816108 112721632216 225443264432