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2231255304 = 2332179718793
BaseRepresentation
bin1000010011111110…
…0100000100001000
312202111111111212100
42010333210010020
514032200132204
61005223313400
7106202233335
oct20477440410
95674444770
102231255304
11a45538153
125232ab860
13297355b15
1417249598c
15d0d42a39
hex84fe4108

2231255304 has 96 divisors (see below), whose sum is σ = 6464760120. Its totient is φ = 692748288.

The previous prime is 2231255281. The next prime is 2231255339. The reversal of 2231255304 is 4035521322.

It is a happy number.

2231255304 is a `hidden beast` number, since 2 + 2 + 3 + 125 + 530 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2180703204 + 50552100 = 46698^2 + 7110^2 .

It is a super-3 number, since 3×22312553043 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109332 + ... + 128124.

Almost surely, 22231255304 is an apocalyptic number.

2231255304 is a gapful number since it is divisible by the number (24) 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 2231255304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232380060).

2231255304 is an abundant number, since it is smaller than the sum of its proper divisors (4233504816).

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

2231255304 is a wasteful number, since it uses less digits than its factorization.

2231255304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18919 (or 18912 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2231255304 is about 47236.1652126842. The cubic root of 2231255304 is about 1306.7216559648.

Adding to 2231255304 its reverse (4035521322), we get a palindrome (6266776626).

The spelling of 2231255304 in words is "two billion, two hundred thirty-one million, two hundred fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 97 102 136 153 194 204 291 306 388 408 582 612 776 873 1164 1224 1649 1746 2328 3298 3492 4947 6596 6984 9894 13192 14841 18793 19788 29682 37586 39576 56379 59364 75172 112758 118728 150344 169137 225516 319481 338274 451032 638962 676548 958443 1277924 1353096 1822921 1916886 2555848 2875329 3645842 3833772 5468763 5750658 7291684 7667544 10937526 11501316 14583368 16406289 21875052 23002632 30989657 32812578 43750104 61979314 65625156 92968971 123958628 131250312 185937942 247917256 278906913 371875884 557813826 743751768 1115627652 2231255304