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2245746132 = 2232710338627
BaseRepresentation
bin1000010111011011…
…0101110111010100
312210111202201112200
42011312311313110
514044402334012
61010502044500
7106436345550
oct20566656724
95714681480
102245746132
11a52735343
12528119730
1329a35a786
14174388860
15d22563dc
hex85db5dd4

2245746132 has 72 divisors (see below), whose sum is σ = 6494744256. Its totient is φ = 640946304.

The previous prime is 2245746127. The next prime is 2245746137. The reversal of 2245746132 is 2316475422.

2245746132 is a `hidden beast` number, since 2 + 24 + 574 + 61 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2245746127) and next prime (2245746137).

It is a super-2 number, since 2×22457461322 = 10086751378785922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245746137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256003 + ... + 264629.

Almost surely, 22245746132 is an apocalyptic number.

It is an amenable number.

2245746132 is an abundant number, since it is smaller than the sum of its proper divisors (4248998124).

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

2245746132 is a wasteful number, since it uses less digits than its factorization.

2245746132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9672 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2245746132 is about 47389.3039830720. The cubic root of 2245746132 is about 1309.5443770287.

The spelling of 2245746132 in words is "two billion, two hundred forty-five million, seven hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1033 2066 3099 4132 6198 7231 8627 9297 12396 14462 17254 18594 21693 25881 28924 34508 37188 43386 51762 60389 65079 77643 86772 103524 120778 130158 155286 181167 241556 260316 310572 362334 543501 724668 1087002 2174004 8911691 17823382 26735073 35646764 53470146 62381837 80205219 106940292 124763674 160410438 187145511 249527348 320820876 374291022 561436533 748582044 1122873066 2245746132