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214198872 = 233292411277
BaseRepresentation
bin11001100010001…
…10101001011000
3112221001102121120
430301012221120
5414313330442
633131005240
75210442336
oct1461065130
9487042546
10214198872
11aaa00868
125b899820
13354b90c4
142063ab56
1513c114ec
hexcc46a58

214198872 has 64 divisors (see below), whose sum is σ = 556696800. Its totient is φ = 68597760.

The previous prime is 214198849. The next prime is 214198891. The reversal of 214198872 is 278891412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167098 + ... + 168374.

Almost surely, 2214198872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214198872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278348400).

214198872 is an abundant number, since it is smaller than the sum of its proper divisors (342497928).

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

214198872 is a wasteful number, since it uses less digits than its factorization.

214198872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 214198872 is about 14635.5345648869. The cubic root of 214198872 is about 598.3276318611.

The spelling of 214198872 in words is "two hundred fourteen million, one hundred ninety-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 241 348 482 696 723 964 1277 1446 1928 2554 2892 3831 5108 5784 6989 7662 10216 13978 15324 20967 27956 30648 37033 41934 55912 74066 83868 111099 148132 167736 222198 296264 307757 444396 615514 888792 923271 1231028 1846542 2462056 3693084 7386168 8924953 17849906 26774859 35699812 53549718 71399624 107099436 214198872