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2114337160 = 235134066033
BaseRepresentation
bin111111000000110…
…0011100110001000
312110100111110022201
41332001203212020
513312232242120
6545445325544
7103252366165
oct17601434610
95410443281
102114337160
11995540891
124b01068b4
1327906a8a0
14160b3d06c
15c594a40a
hex7e063988

2114337160 has 32 divisors (see below), whose sum is σ = 5123202840. Its totient is φ = 780678144.

The previous prime is 2114337091. The next prime is 2114337163. The reversal of 2114337160 is 617334112.

It can be written as a sum of positive squares in 4 ways, for example, as 1759466916 + 354870244 = 41946^2 + 18838^2 .

It is not an unprimeable number, because it can be changed into a prime (2114337163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032497 + ... + 2033536.

Almost surely, 22114337160 is an apocalyptic number.

2114337160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114337160 is an abundant number, since it is smaller than the sum of its proper divisors (3008865680).

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

2114337160 is a wasteful number, since it uses less digits than its factorization.

2114337160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066057 (or 4066053 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2114337160 is about 45981.9220998862. The cubic root of 2114337160 is about 1283.4868227428.

The spelling of 2114337160 in words is "two billion, one hundred fourteen million, three hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4066033 8132066 16264132 20330165 32528264 40660330 52858429 81320660 105716858 162641320 211433716 264292145 422867432 528584290 1057168580 2114337160