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22051332 = 22331911069
BaseRepresentation
bin101010000011…
…1101000000100
31112111022202000
41110013220010
521121120312
62104345300
7355301412
oct124075004
945438660
1022051332
11114a1546
127475230
134751034
142d002b2
151e08adc
hex1507a04

22051332 has 48 divisors (see below), whose sum is σ = 57523200. Its totient is φ = 7305120.

The previous prime is 22051331. The next prime is 22051369. The reversal of 22051332 is 23315022.

It is a super-2 number, since 2×220513322 = 972522485948448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22051331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20094 + ... + 21162.

It is an arithmetic number, because the mean of its divisors is an integer number (1198400).

Almost surely, 222051332 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 22051332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28761600).

22051332 is an abundant number, since it is smaller than the sum of its proper divisors (35471868).

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

22051332 is a wasteful number, since it uses less digits than its factorization.

22051332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22051332 is about 4695.8845812051. The cubic root of 22051332 is about 280.4216945193.

Adding to 22051332 its reverse (23315022), we get a palindrome (45366354).

The spelling of 22051332 in words is "twenty-two million, fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1069 1146 1719 2138 2292 3207 3438 4276 5157 6414 6876 9621 10314 12828 19242 20628 28863 38484 57726 115452 204179 408358 612537 816716 1225074 1837611 2450148 3675222 5512833 7350444 11025666 22051332