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2238045992 = 237213312457
BaseRepresentation
bin1000010101100101…
…1101111100101000
312202222021111221022
42011121131330220
514040414432432
61010025032012
7106314035300
oct20531357450
95688244838
102238045992
11a49356096
12525625608
13298892990
14173342600
15d1734b12
hex8565df28

2238045992 has 144 divisors (see below), whose sum is σ = 5443884180. Its totient is φ = 854945280.

The previous prime is 2238045989. The next prime is 2238046001. The reversal of 2238045992 is 2995408322.

2238045992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2237857636 + 188356 = 47306^2 + 434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4897028 + ... + 4897484.

Almost surely, 22238045992 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 2238045992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721942090).

2238045992 is an abundant number, since it is smaller than the sum of its proper divisors (3205838188).

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

2238045992 is a wasteful number, since it uses less digits than its factorization.

2238045992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 2238045992 is about 47307.9907837989. The cubic root of 2238045992 is about 1308.0459556717.

The spelling of 2238045992 in words is "two billion, two hundred thirty-eight million, forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 457 637 728 806 868 914 961 1274 1519 1612 1736 1828 1922 2548 2821 3038 3199 3224 3656 3844 5096 5642 5941 6076 6398 6727 7688 11284 11882 12152 12493 12796 13454 14167 19747 22393 22568 23764 24986 25592 26908 28334 39494 41587 44786 47089 47528 49972 53816 56668 78988 83174 87451 89572 94178 99169 99944 113336 157976 166348 174902 179144 184171 188356 198338 291109 332696 349804 368342 376712 396676 439177 582218 612157 694183 699608 736684 793352 878354 1164436 1224314 1289197 1388366 1473368 1756708 2328872 2448628 2578394 2776732 3074239 3513416 4897256 5156788 5553464 5709301 6148478 9024379 10313576 11418602 12296956 18048758 21519673 22837204 24593912 36097516 39965107 43039346 45674408 72195032 79930214 86078692 159860428 172157384 279755749 319720856 559511498 1119022996 2238045992