Search a number
-
+
22875120 = 2432531771
BaseRepresentation
bin101011101000…
…0101111110000
31121001011202200
41113100233300
521324000440
62134143200
7365302212
oct127205760
947034680
1022875120
1111a04464
1277b1b00
13497bc98
1430765b2
15201cc30
hex15d0bf0

22875120 has 60 divisors (see below), whose sum is σ = 76824696. Its totient is φ = 6099840.

The previous prime is 22875119. The next prime is 22875131. The reversal of 22875120 is 2157822.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×228751202 = 1046542230028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15166 + ... + 16605.

Almost surely, 222875120 is an apocalyptic number.

22875120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22875120 is an abundant number, since it is smaller than the sum of its proper divisors (53949576).

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

22875120 is a wasteful number, since it uses less digits than its factorization.

22875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31790 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 22875120 is about 4782.7941624118. The cubic root of 22875120 is about 283.8710649271.

The spelling of 22875120 in words is "twenty-two million, eight hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31771 63542 95313 127084 158855 190626 254168 285939 317710 381252 476565 508336 571878 635420 762504 953130 1143756 1270840 1429695 1525008 1906260 2287512 2541680 2859390 3812520 4575024 5718780 7625040 11437560 22875120