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2114534440 = 235232519157
BaseRepresentation
bin111111000001001…
…0011110000101000
312110100212110221101
41332002103300220
513312310100230
6545453451144
7103254150304
oct17602236050
95410773841
102114534440
11995666027
124b01a0ab4
13279109615
14160b90d04
15c5988aca
hex7e093c28

2114534440 has 64 divisors (see below), whose sum is σ = 4984882560. Its totient is φ = 805728000.

The previous prime is 2114534431. The next prime is 2114534447. The reversal of 2114534440 is 444354112.

It is a super-2 number, since 2×21145344402 = 8942511795892227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114534399 and 2114534408.

It is not an unprimeable number, because it can be changed into a prime (2114534447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226342 + ... + 235498.

It is an arithmetic number, because the mean of its divisors is an integer number (77888790).

Almost surely, 22114534440 is an apocalyptic number.

2114534440 is a gapful number since it is divisible by the number (20) 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 2114534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492441280).

2114534440 is an abundant number, since it is smaller than the sum of its proper divisors (2870348120).

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

2114534440 is a wasteful number, since it uses less digits than its factorization.

2114534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2114534440 is about 45984.0672407302. The cubic root of 2114534440 is about 1283.5267404390.

Adding to 2114534440 its reverse (444354112), we get a palindrome (2558888552).

The spelling of 2114534440 in words is "two billion, one hundred fourteen million, five hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 251 460 502 920 1004 1255 2008 2510 5020 5773 9157 10040 11546 18314 23092 28865 36628 45785 46184 57730 73256 91570 115460 183140 210611 230920 366280 421222 842444 1053055 1684888 2106110 2298407 4212220 4596814 8424440 9193628 11492035 18387256 22984070 45968140 52863361 91936280 105726722 211453444 264316805 422906888 528633610 1057267220 2114534440