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214135800 = 23352356893
BaseRepresentation
bin11001100001101…
…11001111111000
3112220221020002120
430300313033320
5414304321200
633125401240
75210060424
oct1460671770
9486836076
10214135800
11aa96843a
125b869220
1335496498
1420621b84
1513bec9a0
hexcc373f8

214135800 has 48 divisors (see below), whose sum is σ = 663822840. Its totient is φ = 57102720.

The previous prime is 214135793. The next prime is 214135811. The reversal of 214135800 is 8531412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 177847 + ... + 179046.

Almost surely, 2214135800 is an apocalyptic number.

214135800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214135800 is an abundant number, since it is smaller than the sum of its proper divisors (449687040).

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

214135800 is a wasteful number, since it uses less digits than its factorization.

214135800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356912 (or 356903 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214135800 is about 14633.3796506480. The cubic root of 214135800 is about 598.2688991755.

The spelling of 214135800 in words is "two hundred fourteen million, one hundred thirty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 356893 713786 1070679 1427572 1784465 2141358 2855144 3568930 4282716 5353395 7137860 8565432 8922325 10706790 14275720 17844650 21413580 26766975 35689300 42827160 53533950 71378600 107067900 214135800