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114955170 = 235111013449
BaseRepresentation
bin1101101101000…
…01001110100010
322000022022211220
412312201032202
5213412031140
615223515510
72564050161
oct666411642
9260268756
10114955170
1159986580
12325b8b96
131aa7b915
14113a53d8
15a15abd0
hex6da13a2

114955170 has 64 divisors (see below), whose sum is σ = 304041600. Its totient is φ = 27584000.

The previous prime is 114955157. The next prime is 114955199. The reversal of 114955170 is 71559411.

It is a super-2 number, since 2×1149551702 = 26429382219457800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31606 + ... + 35054.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2114955170 is an apocalyptic number.

114955170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114955170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152020800).

114955170 is an abundant number, since it is smaller than the sum of its proper divisors (189086430).

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

114955170 is a wasteful number, since it uses less digits than its factorization.

114955170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571.

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 114955170 is about 10721.7148814917. The cubic root of 114955170 is about 486.2312148139.

The spelling of 114955170 in words is "one hundred fourteen million, nine hundred fifty-five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 3449 5555 6666 6898 10347 11110 16665 17245 20694 33330 34490 37939 51735 75878 103470 113817 189695 227634 348349 379390 569085 696698 1045047 1138170 1741745 2090094 3483490 3831839 5225235 7663678 10450470 11495517 19159195 22991034 38318390 57477585 114955170