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216690192 = 24321504793
BaseRepresentation
bin11001110101001…
…10111000010000
3120002202000001200
430322212320100
5420433041232
633300231200
75240556555
oct1472467020
9502660050
10216690192
11101352604
126069b500
1335b7c064
1420ac8a2c
151405477c
hexcea6e10

216690192 has 30 divisors (see below), whose sum is σ = 606431982. Its totient is φ = 72230016.

The previous prime is 216690191. The next prime is 216690197. The reversal of 216690192 is 291096612.

It can be written as a sum of positive squares in only one way, i.e., 122677776 + 94012416 = 11076^2 + 9696^2 .

It is a super-3 number, since 3×2166901923 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216690191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 752253 + ... + 752540.

Almost surely, 2216690192 is an apocalyptic number.

It is an amenable number.

216690192 is an abundant number, since it is smaller than the sum of its proper divisors (389741790).

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

216690192 is a wasteful number, since it uses less digits than its factorization.

216690192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504807 (or 1504798 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 216690192 is about 14720.4005380288. The cubic root of 216690192 is about 600.6383871954.

The spelling of 216690192 in words is "two hundred sixteen million, six hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1504793 3009586 4514379 6019172 9028758 12038344 13543137 18057516 24076688 27086274 36115032 54172548 72230064 108345096 216690192