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189982260 = 22355133197
BaseRepresentation
bin10110101001011…
…10011000110100
3111020111002200000
423110232120310
5342113413020
630503551300
74464552066
oct1324563064
9436432600
10189982260
1198270536
125375b530
133048a650
141b335736
1511a2b090
hexb52e634

189982260 has 288 divisors, whose sum is σ = 671204352. Its totient is φ = 44789760.

The previous prime is 189982253. The next prime is 189982279. The reversal of 189982260 is 62289981.

189982260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1899822602 = 72186518229415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1958532 + ... + 1958628.

Almost surely, 2189982260 is an apocalyptic number.

189982260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189982260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335602176).

189982260 is an abundant number, since it is smaller than the sum of its proper divisors (481222092).

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

189982260 is a wasteful number, since it uses less digits than its factorization.

189982260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189982260 is about 13783.4052396351. The cubic root of 189982260 is about 574.8718151562.

The spelling of 189982260 in words is "one hundred eighty-nine million, nine hundred eighty-two thousand, two hundred sixty".