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216133404 = 223291673719
BaseRepresentation
bin11001110000111…
…10111100011100
3120001200201021220
430320132330130
5420312232104
633240253340
75233050354
oct1470367434
9501621256
10216133404
11101002253
1260471250
1335a157b6
14209c1b64
1513e947d9
hexce1ef1c

216133404 has 48 divisors (see below), whose sum is σ = 524966400. Its totient is φ = 69125056.

The previous prime is 216133403. The next prime is 216133409. The reversal of 216133404 is 404331612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216133403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56257 + ... + 59975.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2216133404 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 216133404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

216133404 is an abundant number, since it is smaller than the sum of its proper divisors (308832996).

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

216133404 is a wasteful number, since it uses less digits than its factorization.

216133404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 216133404 is about 14701.4762524040. The cubic root of 216133404 is about 600.1234968014.

The spelling of 216133404 in words is "two hundred sixteen million, one hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 116 167 174 334 348 501 668 1002 2004 3719 4843 7438 9686 11157 14529 14876 19372 22314 29058 44628 58116 107851 215702 323553 431404 621073 647106 1242146 1294212 1863219 2484292 3726438 7452876 18011117 36022234 54033351 72044468 108066702 216133404