Search a number
-
+
22681080 = 2333521001
BaseRepresentation
bin101011010000…
…1010111111000
31120200022121000
41112201113320
521301243310
62130045000
7363533412
oct126412770
946608530
1022681080
11118916a4
127719760
134911876
1430259b2
151ed04c0
hex15a15f8

22681080 has 64 divisors (see below), whose sum is σ = 75607200. Its totient is φ = 6048000.

The previous prime is 22681073. The next prime is 22681091. The reversal of 22681080 is 8018622.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 9421 + ... + 11580.

Almost surely, 222681080 is an apocalyptic number.

22681080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22681080 is an abundant number, since it is smaller than the sum of its proper divisors (52926120).

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

22681080 is a wasteful number, since it uses less digits than its factorization.

22681080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21021 (or 21011 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 22681080 is about 4762.4657479083. The cubic root of 22681080 is about 283.0661317896.

The spelling of 22681080 in words is "twenty-two million, six hundred eighty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 21001 42002 63003 84004 105005 126006 168008 189009 210010 252012 315015 378018 420020 504024 567027 630030 756036 840040 945045 1134054 1260060 1512072 1890090 2268108 2520120 2835135 3780180 4536216 5670270 7560360 11340540 22681080