Search a number
-
+
22629900 = 22352241313
BaseRepresentation
bin101011001010…
…0111000001100
31120120201101110
41112110320030
521243124100
62125012020
7363231246
oct126247014
946521343
1022629900
11118571a7
1276b4010
1348c4497
143011096
151ec0250
hex1594e0c

22629900 has 72 divisors (see below), whose sum is σ = 65957584. Its totient is φ = 5990400.

The previous prime is 22629899. The next prime is 22629913. The reversal of 22629900 is 992622.

It is a super-2 number, since 2×226299002 = 1024224748020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72144 + ... + 72456.

Almost surely, 222629900 is an apocalyptic number.

22629900 is a gapful number since it is divisible by the number (20) 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 22629900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32978792).

22629900 is an abundant number, since it is smaller than the sum of its proper divisors (43327684).

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

22629900 is a wasteful number, since it uses less digits than its factorization.

22629900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 22629900 is about 4757.0894462896. The cubic root of 22629900 is about 282.8530579380.

The spelling of 22629900 in words is "twenty-two million, six hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 313 482 626 723 939 964 1205 1252 1446 1565 1878 2410 2892 3130 3615 3756 4695 4820 6025 6260 7230 7825 9390 12050 14460 15650 18075 18780 23475 24100 31300 36150 46950 72300 75433 93900 150866 226299 301732 377165 452598 754330 905196 1131495 1508660 1885825 2262990 3771650 4525980 5657475 7543300 11314950 22629900