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164219900 = 225213126323
BaseRepresentation
bin10011100100111…
…00101111111100
3102110000020100112
421302130233330
5314020014100
624143445152
74032563135
oct1162345774
9373006315
10164219900
1184774929
1246bb67b8
132803a450
1417b4ac8c
15e63cb35
hex9c9cbfc

164219900 has 36 divisors (see below), whose sum is σ = 383772312. Its totient is φ = 60634560.

The previous prime is 164219893. The next prime is 164219911. The reversal of 164219900 is 9912461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61862 + ... + 64461.

It is an arithmetic number, because the mean of its divisors is an integer number (10660342).

Almost surely, 2164219900 is an apocalyptic number.

164219900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164219900 is an abundant number, since it is smaller than the sum of its proper divisors (219552412).

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

164219900 is a wasteful number, since it uses less digits than its factorization.

164219900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126350 (or 126343 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 164219900 is about 12814.8312513275. The cubic root of 164219900 is about 547.6149060688.

The spelling of 164219900 in words is "one hundred sixty-four million, two hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 126323 252646 505292 631615 1263230 1642199 2526460 3158075 3284398 6316150 6568796 8210995 12632300 16421990 32843980 41054975 82109950 164219900