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2262830988 = 22311233124043
BaseRepresentation
bin1000011011100000…
…0000111110001100
312211200220201120010
42012320000332030
514113241042423
61012312153220
7110034513615
oct20670007614
95750821503
102262830988
11a61344460
12531998810
132a0a60062
14176754c0c
15d39cd693
hex86e00f8c

2262830988 has 96 divisors (see below), whose sum is σ = 6204506112. Its totient is φ = 634708800.

The previous prime is 2262830981. The next prime is 2262831007. The reversal of 2262830988 is 8890382622.

It is a super-2 number, since 2×22628309882 = 10240808160506112288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2262830981) by changing a digit.

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, 82095 + ... + 106137.

It is an arithmetic number, because the mean of its divisors is an integer number (64630272).

Almost surely, 22262830988 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 2262830988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102253056).

2262830988 is an abundant number, since it is smaller than the sum of its proper divisors (3941675124).

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

2262830988 is a wasteful number, since it uses less digits than its factorization.

2262830988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2262830988 is about 47569.2231174738. The cubic root of 2262830988 is about 1312.8568439607.

The spelling of 2262830988 in words is "two billion, two hundred sixty-two million, eight hundred thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 4092 4278 7843 8556 15686 23529 24043 31372 47058 48086 72129 94116 96172 144258 264473 288516 528946 552989 745333 793419 1057892 1105978 1490666 1586838 1658967 2211956 2235999 2981332 3173676 3317934 4471998 6082879 6635868 8198663 8943996 12165758 16397326 17142659 18248637 24331516 24595989 32794652 34285318 36497274 49191978 51427977 68570636 72994548 98383956 102855954 188569249 205711908 377138498 565707747 754276996 1131415494 2262830988