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2281195632 = 2431937671009
BaseRepresentation
bin1000011111111000…
…0100100001110000
312212222110202010010
42013332010201300
514132441230012
61014205534520
7110346562062
oct20776044160
95788422103
102281195632
11a70748051
12537b74440
132a47c0001
14178d75732
15d5409c3c
hex87f84870

2281195632 has 160 divisors (see below), whose sum is σ = 6472403200. Its totient is φ = 689762304.

The previous prime is 2281195601. The next prime is 2281195633. The reversal of 2281195632 is 2365911822.

It is a super-2 number, since 2×22811956322 = 10407707022911758848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281195633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2260344 + ... + 2261352.

It is an arithmetic number, because the mean of its divisors is an integer number (40452520).

Almost surely, 22281195632 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 2281195632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236201600).

2281195632 is an abundant number, since it is smaller than the sum of its proper divisors (4191207568).

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

2281195632 is a wasteful number, since it uses less digits than its factorization.

2281195632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 2281195632 is about 47761.8637827294. The cubic root of 2281195632 is about 1316.3988991634.

The spelling of 2281195632 in words is "two billion, two hundred eighty-one million, one hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 67 74 76 111 114 134 148 152 201 222 228 268 296 304 402 444 456 536 592 703 804 888 912 1009 1072 1273 1406 1608 1776 2018 2109 2479 2546 2812 3027 3216 3819 4036 4218 4958 5092 5624 6054 7437 7638 8072 8436 9916 10184 11248 12108 14874 15276 16144 16872 19171 19832 20368 24216 29748 30552 33744 37333 38342 39664 47101 48432 57513 59496 61104 67603 74666 76684 94202 111999 115026 118992 135206 141303 149332 153368 188404 202809 223998 230052 270412 282606 298664 306736 376808 405618 447996 460104 540824 565212 597328 709327 753616 811236 895992 920208 1081648 1130424 1284457 1418654 1622472 1791984 2127981 2260848 2501311 2568914 2837308 3244944 3853371 4255962 5002622 5137828 5674616 7503933 7706742 8511924 10005244 10275656 11349232 15007866 15413484 17023848 20010488 20551312 30015732 30826968 34047696 40020976 47524909 60031464 61653936 95049818 120062928 142574727 190099636 285149454 380199272 570298908 760398544 1140597816 2281195632