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114737220 = 223251349033
BaseRepresentation
bin1101101011011…
…00000001000100
321222220020212200
412311230001010
5213333042340
615215114500
72562151563
oct665540104
9258806780
10114737220
1159847854
1232512a30
131aa03660
1411349bda
15a116330
hex6d6c044

114737220 has 72 divisors (see below), whose sum is σ = 374815896. Its totient is φ = 28242432.

The previous prime is 114737177. The next prime is 114737237. The reversal of 114737220 is 22737411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 114575616 = 402^2 + 10704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22177 + ... + 26856.

Almost surely, 2114737220 is an apocalyptic number.

114737220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114737220 is an abundant number, since it is smaller than the sum of its proper divisors (260078676).

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

114737220 is a wasteful number, since it uses less digits than its factorization.

114737220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49061 (or 49056 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 114737220 is about 10711.5461068886. The cubic root of 114737220 is about 485.9237293306.

The spelling of 114737220 in words is "one hundred fourteen million, seven hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 49033 98066 147099 196132 245165 294198 441297 490330 588396 637429 735495 882594 980660 1274858 1470990 1765188 1912287 2206485 2549716 2941980 3187145 3824574 4412970 5736861 6374290 7649148 8825940 9561435 11473722 12748580 19122870 22947444 28684305 38245740 57368610 114737220