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2252403882 = 2331715116249
BaseRepresentation
bin1000011001000000…
…1111010010101010
312210222021222021000
42012100033102222
514103103411012
61011300455430
7106550055111
oct20620172252
95728258230
102252403882
11a56472413
1252a3aa576
1329b84bc81
141751dcc78
15d2b1dddc
hex8640f4aa

2252403882 has 64 divisors (see below), whose sum is σ = 5335200000. Its totient is φ = 701913600.

The previous prime is 2252403863. The next prime is 2252403917. The reversal of 2252403882 is 2883042522.

2252403882 is a `hidden beast` number, since 22 + 524 + 0 + 38 + 82 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130494 + ... + 146742.

It is an arithmetic number, because the mean of its divisors is an integer number (83362500).

Almost surely, 22252403882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252403882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667600000).

2252403882 is an abundant number, since it is smaller than the sum of its proper divisors (3082796118).

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

2252403882 is a wasteful number, since it uses less digits than its factorization.

2252403882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16428 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2252403882 is about 47459.4972792591. The cubic root of 2252403882 is about 1310.8371941999.

The spelling of 2252403882 in words is "two billion, two hundred fifty-two million, four hundred three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 151 153 302 306 453 459 906 918 1359 2567 2718 4077 5134 7701 8154 15402 16249 23103 32498 46206 48747 69309 97494 138618 146241 276233 292482 438723 552466 828699 877446 1657398 2453599 2486097 4907198 4972194 7360797 7458291 14721594 14916582 22082391 41711183 44164782 66247173 83422366 125133549 132494346 250267098 375400647 750801294 1126201941 2252403882