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1225641132 = 223419375381
BaseRepresentation
bin100100100001101…
…1100110010101100
310011102021000120000
41021003130302230
510002231004012
6321341424300
742241530522
oct11103346254
93142230500
101225641132
1157992a361
122a256b090
13166c01451
14b8ac6312
1572902ddc
hex490dccac

1225641132 has 120 divisors (see below), whose sum is σ = 3464501040. Its totient is φ = 376513920.

The previous prime is 1225641127. The next prime is 1225641191. The reversal of 1225641132 is 2311465221.

1225641132 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 641 + 13 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1225641096 and 1225641105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225082 + ... + 230462.

It is an arithmetic number, because the mean of its divisors is an integer number (28870842).

Almost surely, 21225641132 is an apocalyptic number.

1225641132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225641132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732250520).

1225641132 is an abundant number, since it is smaller than the sum of its proper divisors (2238859908).

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

1225641132 is a wasteful number, since it uses less digits than its factorization.

1225641132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5442 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1225641132 is about 35009.1578304877. The cubic root of 1225641132 is about 1070.1741155500.

The spelling of 1225641132 in words is "one billion, two hundred twenty-five million, six hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 513 666 684 703 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 5381 5994 6156 6327 8436 10762 11988 12654 16143 18981 21524 25308 32286 37962 48429 56943 64572 75924 96858 102239 113886 145287 193716 199097 204478 227772 290574 306717 398194 408956 435861 581148 597291 613434 796388 871722 920151 1194582 1226868 1743444 1791873 1840302 2389164 2760453 3583746 3680604 3782843 5375619 5520906 7167492 7565686 8281359 10751238 11041812 11348529 15131372 16126857 16562718 21502476 22697058 32253714 33125436 34045587 45394116 64507428 68091174 102136761 136182348 204273522 306410283 408547044 612820566 1225641132