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2114146700 = 225237215443
BaseRepresentation
bin111111000000011…
…0101000110001100
312110100010210001122
41332000311012030
513312210143300
6545441300112
7103250644001
oct17600650614
95410123048
102114146700
11995420786
124b0034638
13279001ca3
14160acd8a8
15c590dc85
hex7e03518c

2114146700 has 54 divisors (see below), whose sum is σ = 4715346636. Its totient is φ = 822749760.

The previous prime is 2114146691. The next prime is 2114146717. The reversal of 2114146700 is 76414112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114146700.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 129179 + ... + 144621.

It is an arithmetic number, because the mean of its divisors is an integer number (87321234).

Almost surely, 22114146700 is an apocalyptic number.

2114146700 is a gapful number since it is divisible by the number (20) 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 2114146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357673318).

2114146700 is an abundant number, since it is smaller than the sum of its proper divisors (2601199936).

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

2114146700 is a wasteful number, since it uses less digits than its factorization.

2114146700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15531 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2114146700 is about 45979.8510219422. The cubic root of 2114146700 is about 1283.4482826516.

The spelling of 2114146700 in words is "two billion, one hundred fourteen million, one hundred forty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1369 1850 2738 3700 5476 6845 13690 15443 27380 30886 34225 61772 68450 77215 136900 154430 308860 386075 571391 772150 1142782 1544300 2285564 2856955 5713910 11427820 14284775 21141467 28569550 42282934 57139100 84565868 105707335 211414670 422829340 528536675 1057073350 2114146700