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225161014644630 = 23354435851321733
BaseRepresentation
bin110011001100100001100010…
…010010111000111110010110
31002112020011221020200010102000
4303030201202102320332112
5214003014224222112010
62114513313034500130
765266226562111441
oct6314414222707626
91075204836603360
10225161014644630
116581a282916589
1221305868294646
139883791b6a60c
143d85bcbbbc658
151b06e4c2097c0
hexccc8624b8f96

225161014644630 has 128 divisors (see below), whose sum is σ = 601889465802240. Its totient is φ = 59896975132800.

The previous prime is 225161014644617. The next prime is 225161014644647. The reversal of 225161014644630 is 36446410161522.

225161014644630 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 6 + 1 + 0 + 1 + 4 + 6 + 4 + 4 + 630 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 699677244 + ... + 699998976.

It is an arithmetic number, because the mean of its divisors is an integer number (4702261451580).

Almost surely, 2225161014644630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225161014644630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300944732901120).

225161014644630 is an abundant number, since it is smaller than the sum of its proper divisors (376728451157610).

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

225161014644630 is a wasteful number, since it uses less digits than its factorization.

225161014644630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328043 (or 328037 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 225161014644630 in words is "two hundred twenty-five trillion, one hundred sixty-one billion, fourteen million, six hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 443 886 1329 2215 2658 3987 4430 5851 6645 7974 11702 11961 13290 17553 19935 23922 29255 35106 39870 52659 58510 59805 87765 105318 119610 157977 175530 263295 315954 321733 526590 643466 789885 965199 1579770 1608665 1930398 2591993 2895597 3217330 4825995 5183986 5791194 7775979 8686791 9651990 12959965 14477985 15551958 17373582 23327937 25919930 28955970 38879895 43433955 46655874 69983811 77759790 86867910 116639685 139967622 142527719 233279370 285055438 349919055 427583157 699838110 712638595 855166314 1282749471 1425277190 1882459783 2137915785 2565498942 3764919566 3848248413 4275831570 5647379349 6413747355 7696496826 9412298915 11294758698 12827494710 16942138047 18824597830 19241242065 28236896745 33884276094 38482484130 50826414141 56473793490 84710690235 101652828282 169421380470 254132070705 508264141410 833929683869 1667859367738 2501789051607 4169648419345 5003578103214 7505367154821 8339296838690 12508945258035 15010734309642 22516101464463 25017890516070 37526835774105 45032202928926 75053671548210 112580507322315 225161014644630