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2314224132 = 22311123714173
BaseRepresentation
bin1000100111110000…
…0100001000000100
312222021121202200220
42021330010020010
514214420133012
61021345504340
7111230403063
oct21174041004
95867552626
102314224132
11a88356930
125470420b0
132ab5b55bc
1417d4d21da
15d828108c
hex89f04204

2314224132 has 48 divisors (see below), whose sum is σ = 5895930432. Its totient is φ = 700663680.

The previous prime is 2314224119. The next prime is 2314224167.

It is a happy number.

2314224132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156198 + ... + 170370.

It is an arithmetic number, because the mean of its divisors is an integer number (122831884).

Almost surely, 22314224132 is an apocalyptic number.

2314224132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2314224132 is an abundant number, since it is smaller than the sum of its proper divisors (3581706300).

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

2314224132 is a wasteful number, since it uses less digits than its factorization.

2314224132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15428 (or 15426 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2314224132 is about 48106.3834849389. The cubic root of 2314224132 is about 1322.7216823390.

It can be divided in two parts, 23142 and 24132, that added together give a palindrome (47274).

The spelling of 2314224132 in words is "two billion, three hundred fourteen million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1237 2474 3711 4948 7422 13607 14173 14844 27214 28346 40821 42519 54428 56692 81642 85038 155903 163284 170076 311806 467709 623612 935418 1870836 17532001 35064002 52596003 70128004 105192006 192852011 210384012 385704022 578556033 771408044 1157112066 2314224132