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2252453632 = 28111324733
BaseRepresentation
bin1000011001000001…
…1011011100000000
312210222101111111121
42012100123130000
514103112004012
61011301522024
7106550353132
oct20620333400
95728344447
102252453632
11a564a6830
1252a413314
1329b868800
14175213052
15d2b2da07
hex8641b700

2252453632 has 108 divisors (see below), whose sum is σ = 5312286504. Its totient is φ = 944885760.

The previous prime is 2252453611. The next prime is 2252453633. The reversal of 2252453632 is 2363542522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252453633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473538 + ... + 478270.

It is an arithmetic number, because the mean of its divisors is an integer number (49187838).

Almost surely, 22252453632 is an apocalyptic number.

2252453632 is a gapful number since it is divisible by the number (22) 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 2252453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656143252).

2252453632 is an abundant number, since it is smaller than the sum of its proper divisors (3059832872).

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

2252453632 is a wasteful number, since it uses less digits than its factorization.

2252453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4759 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 2252453632 is about 47460.0214074962. The cubic root of 2252453632 is about 1310.8468451734.

The spelling of 2252453632 in words is "two billion, two hundred fifty-two million, four hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 338 352 416 572 676 704 832 1144 1352 1408 1664 1859 2288 2704 2816 3328 3718 4576 4733 5408 7436 9152 9466 10816 14872 18304 18932 21632 29744 36608 37864 43264 52063 59488 61529 75728 104126 118976 123058 151456 208252 237952 246116 302912 416504 475904 492232 605824 676819 799877 833008 984464 1211648 1353638 1599754 1666016 1968928 2707276 3199508 3332032 3937856 5414552 6399016 6664064 7875712 8798647 10829104 12798032 13328128 15751424 17597294 21658208 25596064 35194588 43316416 51192128 70389176 86632832 102384256 140778352 173265664 204768512 281556704 563113408 1126226816 2252453632