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114122412 = 22332345943
BaseRepresentation
bin1101100110101…
…01111010101100
321221202000112000
412303111322230
5213203404122
615154012300
72554011255
oct663257254
9257660460
10114122412
1159467948
1232277090
131a849871
1411229b2c
15a0440ac
hex6cd5eac

114122412 has 48 divisors (see below), whose sum is σ = 308743680. Its totient is φ = 36386064.

The previous prime is 114122369. The next prime is 114122413. The reversal of 114122412 is 214221411.

114122412 is a `hidden beast` number, since 11 + 412 + 241 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (114122413) 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, 20488 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (6432160).

Almost surely, 2114122412 is an apocalyptic number.

114122412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114122412 is an abundant number, since it is smaller than the sum of its proper divisors (194621268).

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

114122412 is a wasteful number, since it uses less digits than its factorization.

114122412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45979 (or 45971 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114122412 is about 10682.8091811096. The cubic root of 114122412 is about 485.0542497860.

Adding to 114122412 its reverse (214221411), we get a palindrome (328343823).

It can be divided in two parts, 11412 and 2412, that added together give a cube (13824 = 243).

The spelling of 114122412 in words is "one hundred fourteen million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 45943 91886 137829 183772 275658 413487 551316 826974 1056689 1240461 1653948 2113378 2480922 3170067 4226756 4961844 6340134 9510201 12680268 19020402 28530603 38040804 57061206 114122412