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114218160 = 2435767987
BaseRepresentation
bin1101100111011…
…01010010110000
321221220212212020
412303231102300
5213214440120
615200031440
72554560360
oct663552260
9257825766
10114218160
1159522881
1232302580
131a881314
14112529a0
15a062640
hex6ced4b0

114218160 has 80 divisors (see below), whose sum is σ = 404664576. Its totient is φ = 26106624.

The previous prime is 114218129. The next prime is 114218213. The reversal of 114218160 is 61812411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114218160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32314 + ... + 35673.

Almost surely, 2114218160 is an apocalyptic number.

114218160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114218160 is an abundant number, since it is smaller than the sum of its proper divisors (290446416).

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

114218160 is a wasteful number, since it uses less digits than its factorization.

114218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68010 (or 68004 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 114218160 is about 10687.2896470527. The cubic root of 114218160 is about 485.1898643747.

The spelling of 114218160 in words is "one hundred fourteen million, two hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 67987 135974 203961 271948 339935 407922 475909 543896 679870 815844 951818 1019805 1087792 1359740 1427727 1631688 1903636 2039610 2379545 2719480 2855454 3263376 3807272 4079220 4759090 5438960 5710908 7138635 7614544 8158440 9518180 11421816 14277270 16316880 19036360 22843632 28554540 38072720 57109080 114218160