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225054105102 = 23431235719013
BaseRepresentation
bin1101000110011001000…
…1010001111000001110
3210111220102000002120000
43101212101101320032
512141402322330402
6251215522305130
722155023221131
oct3214621217016
9714812002500
10225054105102
11874991a2192
123774a1b81a6
13182b7b1a438
14ac6d710218
155cc2c82c1c
hex3466451e0e

225054105102 has 80 divisors (see below), whose sum is σ = 520803499392. Its totient is φ = 72563480640.

The previous prime is 225054105091. The next prime is 225054105191. The reversal of 225054105102 is 201501450522.

225054105102 is a `hidden beast` number, since 22 + 50 + 541 + 0 + 51 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11827348 + ... + 11846360.

Almost surely, 2225054105102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225054105102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260401749696).

225054105102 is an abundant number, since it is smaller than the sum of its proper divisors (295749394290).

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

225054105102 is a wasteful number, since it uses less digits than its factorization.

225054105102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21415 (or 21406 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 225054105102 its reverse (201501450522), we get a palindrome (426555555624).

The spelling of 225054105102 in words is "two hundred twenty-five billion, fifty-four million, one hundred five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2357 2511 4714 5022 7071 14142 19013 21213 38026 42426 57039 63639 73067 114078 127278 146134 171117 190917 219201 342234 381834 438402 513351 589403 657603 1026702 1178806 1315206 1540053 1768209 1972809 3080106 3536418 3945618 5304627 5918427 10609254 11836854 15913881 31827762 44813641 47741643 89627282 95483286 134440923 268881846 403322769 806645538 1209968307 1389222871 2419936614 2778445742 3629904921 4167668613 7259809842 8335337226 12503005839 25006011678 37509017517 75018035034 112527052551 225054105102