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214101632 = 2712291361
BaseRepresentation
bin11001100001011…
…10111010000000
3112220212111020002
430300232322000
5414302223012
633124535132
75206556003
oct1460567200
9486774202
10214101632
11aa9447a8
125b8514a8
1335483a74
142061353a
1513be27c2
hexcc2ee80

214101632 has 32 divisors (see below), whose sum is σ = 427191300. Its totient is φ = 106885120.

The previous prime is 214101623. The next prime is 214101637. The reversal of 214101632 is 236101412.

It can be written as a sum of positive squares in 2 ways, for example, as 208975936 + 5125696 = 14456^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 (214101637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156632 + ... + 157992.

Almost surely, 2214101632 is an apocalyptic number.

It is an amenable number.

214101632 is a deficient number, since it is larger than the sum of its proper divisors (213089668).

214101632 is a wasteful number, since it uses less digits than its factorization.

214101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 214101632 is about 14632.2121362424. The cubic root of 214101632 is about 598.2370770964.

The spelling of 214101632 in words is "two hundred fourteen million, one hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1229 1361 2458 2722 4916 5444 9832 10888 19664 21776 39328 43552 78656 87104 157312 174208 1672669 3345338 6690676 13381352 26762704 53525408 107050816 214101632