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216411972 = 223717151549
BaseRepresentation
bin11001110011000…
…10111101000100
3120002012212102020
430321202331010
5420400140342
633250243140
75235320460
oct1471427504
9502185366
10216411972
11101182577
12605864b0
1335ab252a
1420a554a0
1513eec0ec
hexce62f44

216411972 has 48 divisors (see below), whose sum is σ = 611049600. Its totient is φ = 58194432.

The previous prime is 216411971. The next prime is 216411983. The reversal of 216411972 is 279114612.

It is a happy number.

216411972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216411971) 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, 74347 + ... + 77202.

It is an arithmetic number, because the mean of its divisors is an integer number (12730200).

Almost surely, 2216411972 is an apocalyptic number.

It is an amenable number.

216411972 is an abundant number, since it is smaller than the sum of its proper divisors (394637628).

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

216411972 is a wasteful number, since it uses less digits than its factorization.

216411972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151580 (or 151578 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 216411972 is about 14710.9473522272. The cubic root of 216411972 is about 600.3812132983.

The spelling of 216411972 in words is "two hundred sixteen million, four hundred eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 151549 303098 454647 606196 909294 1060843 1818588 2121686 2576333 3182529 4243372 5152666 6365058 7728999 10305332 12730116 15457998 18034331 30915996 36068662 54102993 72137324 108205986 216411972