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214769250 = 23253531801
BaseRepresentation
bin11001100110100…
…01111001100010
3112222010102000200
430303101321202
5414440104000
633151130030
75215336263
oct1463217142
9488112020
10214769250
11100260353
125bb13916
13356588c7
142074896a
1513cc5500
hexccd1e62

214769250 has 96 divisors (see below), whose sum is σ = 592021872. Its totient is φ = 56160000.

The previous prime is 214769231. The next prime is 214769251. The reversal of 214769250 is 52967412.

214769250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1580049 + 213189201 = 1257^2 + 14601^2 .

It is a super-2 number, since 2×2147692502 = 92251661491125000, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (214769251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118350 + ... + 120150.

Almost surely, 2214769250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214769250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296010936).

214769250 is an abundant number, since it is smaller than the sum of its proper divisors (377252622).

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

214769250 is a wasteful number, since it uses less digits than its factorization.

214769250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 214769250 is about 14655.0076765589. The cubic root of 214769250 is about 598.8582453721.

The spelling of 214769250 in words is "two hundred fourteen million, seven hundred sixty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 125 150 159 225 250 265 318 375 450 477 530 750 795 954 1125 1325 1590 1801 2250 2385 2650 3602 3975 4770 5403 6625 7950 9005 10806 11925 13250 16209 18010 19875 23850 27015 32418 39750 45025 54030 59625 81045 90050 95453 119250 135075 162090 190906 225125 270150 286359 405225 450250 477265 572718 675375 810450 859077 954530 1350750 1431795 1718154 2026125 2386325 2863590 4052250 4295385 4772650 7158975 8590770 11931625 14317950 21476925 23863250 35794875 42953850 71589750 107384625 214769250