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114164050 = 252711132281
BaseRepresentation
bin1101100111000…
…00000101010010
321221211010122011
412303200011102
5213211222200
615154533134
72554243540
oct663400522
9257733564
10114164050
1159496160
12322971aa
131a8627c0
141123ad90
15a0515ba
hex6ce0152

114164050 has 96 divisors (see below), whose sum is σ = 285231744. Its totient is φ = 32832000.

The previous prime is 114164033. The next prime is 114164107. The reversal of 114164050 is 50461411.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 48910 + ... + 51190.

It is an arithmetic number, because the mean of its divisors is an integer number (2971164).

Almost surely, 2114164050 is an apocalyptic number.

114164050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114164050 is an abundant number, since it is smaller than the sum of its proper divisors (171067694).

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

114164050 is a wasteful number, since it uses less digits than its factorization.

114164050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 114164050 is about 10684.7578353466. The cubic root of 114164050 is about 485.1132339146.

The spelling of 114164050 in words is "one hundred fourteen million, one hundred sixty-four thousand, fifty".

Divisors: 1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 130 143 154 175 182 275 286 325 350 385 455 550 650 715 770 910 1001 1430 1925 2002 2275 2281 3575 3850 4550 4562 5005 7150 10010 11405 15967 22810 25025 25091 29653 31934 50050 50182 57025 59306 79835 114050 125455 148265 159670 175637 207571 250910 296530 326183 351274 399175 415142 627275 652366 741325 798350 878185 1037855 1254550 1482650 1630915 1756370 2075710 2283281 3261830 4390925 4566562 5189275 8154575 8781850 10378550 11416405 16309150 22832810 57082025 114164050