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150190164 = 223231592281
BaseRepresentation
bin10001111001110…
…11100001010100
3101110121110011200
420330323201110
5301422041124
622523032500
73502411125
oct1074734124
9343543150
10150190164
1177862103
124236b730
1325167627
1415d3804c
15d2babc9
hex8f3b854

150190164 has 72 divisors (see below), whose sum is σ = 398711040. Its totient is φ = 47606400.

The previous prime is 150190153. The next prime is 150190211. The reversal of 150190164 is 461091051.

150190164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64704 + ... + 66984.

Almost surely, 2150190164 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 150190164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199355520).

150190164 is an abundant number, since it is smaller than the sum of its proper divisors (248520876).

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

150190164 is a wasteful number, since it uses less digits than its factorization.

150190164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150190164 is about 12255.2096677291. The cubic root of 150190164 is about 531.5537224448.

The spelling of 150190164 in words is "one hundred fifty million, one hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 1062 1116 1829 2124 2281 3658 4562 5487 6843 7316 9124 10974 13686 16461 20529 21948 27372 32922 41058 65844 70711 82116 134579 141422 212133 269158 282844 403737 424266 538316 636399 807474 848532 1211211 1272798 1614948 2422422 2545596 4171949 4844844 8343898 12515847 16687796 25031694 37547541 50063388 75095082 150190164