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190218272 = 2519535903
BaseRepresentation
bin10110101011010…
…00000000100000
3111020221002102012
423111220000200
5342143441042
630513012052
74466554136
oct1325500040
9436832365
10190218272
1198411892
1253854028
1330540bba
141b397756
1511a75e82
hexb568020

190218272 has 48 divisors (see below), whose sum is σ = 401708160. Its totient is φ = 88388352.

The previous prime is 190218241. The next prime is 190218299. The reversal of 190218272 is 272812091.

It is a happy number.

190218272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29273 + ... + 35175.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2190218272 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 190218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200854080).

190218272 is an abundant number, since it is smaller than the sum of its proper divisors (211489888).

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

190218272 is a wasteful number, since it uses less digits than its factorization.

190218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 190218272 is about 13791.9640370761. The cubic root of 190218272 is about 575.1097680797.

The spelling of 190218272 in words is "one hundred ninety million, two hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 152 212 304 424 608 848 1007 1696 2014 4028 5903 8056 11806 16112 23612 32224 47224 94448 112157 188896 224314 312859 448628 625718 897256 1251436 1794512 2502872 3589024 5005744 5944321 10011488 11888642 23777284 47554568 95109136 190218272