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114491220 = 223515112637
BaseRepresentation
bin1101101001011…
…11111101010100
321222102202102120
412310233331110
5213302204340
615205535540
72560105434
oct664577524
9258382376
10114491220
1159699a48
12324145b0
131a9486ac
14112c42c4
15a0b84d0
hex6d2ff54

114491220 has 48 divisors (see below), whose sum is σ = 322723968. Its totient is φ = 30326400.

The previous prime is 114491219. The next prime is 114491257. The reversal of 114491220 is 22194411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2742 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (6723416).

Almost surely, 2114491220 is an apocalyptic number.

114491220 is a gapful number since it is divisible by the number (10) 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 114491220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161361984).

114491220 is an abundant number, since it is smaller than the sum of its proper divisors (208232748).

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

114491220 is a wasteful number, since it uses less digits than its factorization.

114491220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114491220 is about 10700.0570091939. The cubic root of 114491220 is about 485.5762025508.

The spelling of 114491220 in words is "one hundred fourteen million, four hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 12637 25274 37911 50548 63185 75822 126370 151644 189555 252740 379110 758220 1908187 3816374 5724561 7632748 9540935 11449122 19081870 22898244 28622805 38163740 57245610 114491220