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214069320 = 23325594637
BaseRepresentation
bin11001100001001…
…11000001001000
3112220210211220100
430300213001020
5414300204240
633124125400
75206362543
oct1460470110
9486724810
10214069320
11aa9224a3
125b836860
133547214a
142060585a
1513bd7e30
hexcc27048

214069320 has 48 divisors (see below), whose sum is σ = 695726460. Its totient is φ = 57085056.

The previous prime is 214069319. The next prime is 214069337. The reversal of 214069320 is 23960412.

It can be written as a sum of positive squares in 2 ways, for example, as 194937444 + 19131876 = 13962^2 + 4374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296959 + ... + 297678.

Almost surely, 2214069320 is an apocalyptic number.

214069320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214069320 is an abundant number, since it is smaller than the sum of its proper divisors (481657140).

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

214069320 is a wasteful number, since it uses less digits than its factorization.

214069320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594654 (or 594647 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 214069320 is about 14631.1079553122. The cubic root of 214069320 is about 598.2069804724.

The spelling of 214069320 in words is "two hundred fourteen million, sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 594637 1189274 1783911 2378548 2973185 3567822 4757096 5351733 5946370 7135644 8919555 10703466 11892740 14271288 17839110 21406932 23785480 26758665 35678220 42813864 53517330 71356440 107034660 214069320