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2250237132 = 22331113145703
BaseRepresentation
bin1000011000011111…
…1110010011001100
312210211012220001000
42012013332103030
514102030042012
61011142220300
7106522462053
oct20607762314
95724186030
102250237132
11a55222510
12529724690
1329b270980
14174bd739a
15d2841ddc
hex861fe4cc

2250237132 has 96 divisors (see below), whose sum is σ = 6853916160. Its totient is φ = 629432640.

The previous prime is 2250237091. The next prime is 2250237133. The reversal of 2250237132 is 2317320522.

It is a happy number.

2250237132 is a `hidden beast` number, since 22 + 502 + 3 + 7 + 132 = 666.

2250237132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2250237096 and 2250237105.

It is not an unprimeable number, because it can be changed into a prime (2250237133) 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, 57408 + ... + 88295.

It is an arithmetic number, because the mean of its divisors is an integer number (71394960).

Almost surely, 22250237132 is an apocalyptic number.

2250237132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2250237132 is an abundant number, since it is smaller than the sum of its proper divisors (4603679028).

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

2250237132 is a wasteful number, since it uses less digits than its factorization.

2250237132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145740 (or 145732 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2250237132 is about 47436.6644274236. The cubic root of 2250237132 is about 1310.4167296835.

Adding to 2250237132 its reverse (2317320522), we get a palindrome (4567557654).

The spelling of 2250237132 in words is "two billion, two hundred fifty million, two hundred thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 145703 291406 437109 582812 874218 1311327 1602733 1748436 1894139 2622654 3205466 3788278 3933981 4808199 5245308 5682417 6410932 7576556 7867962 9616398 11364834 14424597 15735924 17047251 19232796 20835529 22729668 28849194 34094502 41671058 43273791 51141753 57698388 62506587 68189004 83342116 86547582 102283506 125013174 173095164 187519761 204567012 250026348 375039522 562559283 750079044 1125118566 2250237132