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2314884132 = 22321137157991
BaseRepresentation
bin1000100111111010…
…0101010000100100
312222022212022001100
42021332211100210
514220102243012
61021412000100
7111236122221
oct21176452044
95868768040
102314884132
11a88767790
12547300030
132ab786b32
1417d624948
15d83618dc
hex89fa5424

2314884132 has 72 divisors (see below), whose sum is σ = 6556036032. Its totient is φ = 682516800.

The previous prime is 2314884107. The next prime is 2314884163.

It is a happy number.

2314884132 is a `hidden beast` number, since 231 + 4 + 8 + 8 + 413 + 2 = 666.

2314884132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 64344 + ... + 93647.

It is an arithmetic number, because the mean of its divisors is an integer number (91056056).

Almost surely, 22314884132 is an apocalyptic number.

2314884132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2314884132 is an abundant number, since it is smaller than the sum of its proper divisors (4241151900).

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

2314884132 is a wasteful number, since it uses less digits than its factorization.

2314884132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158049 (or 158044 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2314884132 is about 48113.2427923955. The cubic root of 2314884132 is about 1322.8474139424.

It can be divided in two parts, 2314 and 884132, that added together give a triangular number (886446 = T1331).

The spelling of 2314884132 in words is "two billion, three hundred fourteen million, eight hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 157991 315982 473973 631964 947946 1421919 1737901 1895892 2843838 3475802 5213703 5687676 5845667 6951604 10427406 11691334 15641109 17537001 20854812 23382668 31282218 35074002 52611003 62564436 64302337 70148004 105222006 128604674 192907011 210444012 257209348 385814022 578721033 771628044 1157442066 2314884132