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114887220 = 22357377393
BaseRepresentation
bin1101101100100…
…00101000110100
322000011212122020
412312100220310
5213402342340
615222233140
72563345110
oct666205064
9260155566
10114887220
115993a518
12325857b0
131aa56a06
1411388740
15a1459d0
hex6d90a34

114887220 has 96 divisors (see below), whose sum is σ = 377626368. Its totient is φ = 25546752.

The previous prime is 114887203. The next prime is 114887221. The reversal of 114887220 is 22788411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114887221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11844 + ... + 19236.

It is an arithmetic number, because the mean of its divisors is an integer number (3933608).

Almost surely, 2114887220 is an apocalyptic number.

114887220 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 114887220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188813184).

114887220 is an abundant number, since it is smaller than the sum of its proper divisors (262739148).

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

114887220 is a wasteful number, since it uses less digits than its factorization.

114887220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7449 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 114887220 is about 10718.5456102962. The cubic root of 114887220 is about 486.1353921755.

The spelling of 114887220 in words is "one hundred fourteen million, eight hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7393 7770 14786 15540 22179 29572 36965 44358 51751 73930 88716 103502 110895 147860 155253 207004 221790 258755 273541 310506 443580 517510 547082 621012 776265 820623 1035020 1094164 1367705 1552530 1641246 1914787 2735410 3105060 3282492 3829574 4103115 5470820 5744361 7659148 8206230 9573935 11488722 16412460 19147870 22977444 28721805 38295740 57443610 114887220