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22461972 = 223131371051
BaseRepresentation
bin101010110101…
…1111000010100
31120021012000220
41111223320110
521222240342
62121234340
7361631541
oct125537024
946235026
1022461972
1111752015
1276329b0
134865c10
142da9bc8
151e8a5ec
hex156be14

22461972 has 48 divisors (see below), whose sum is σ = 56908992. Its totient is φ = 6854400.

The previous prime is 22461941. The next prime is 22461977. The reversal of 22461972 is 27916422.

It is a super-2 number, since 2×224619722 = 1009080372257568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22461977) by changing a digit.

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, 20847 + ... + 21897.

It is an arithmetic number, because the mean of its divisors is an integer number (1185604).

Almost surely, 222461972 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 22461972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28454496).

22461972 is an abundant number, since it is smaller than the sum of its proper divisors (34447020).

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

22461972 is a wasteful number, since it uses less digits than its factorization.

22461972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 22461972 is about 4739.4062919315. The cubic root of 22461972 is about 282.1516713401.

The spelling of 22461972 in words is "twenty-two million, four hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1051 1644 1781 2102 3153 3562 4204 5343 6306 7124 10686 12612 13663 21372 27326 40989 54652 81978 143987 163956 287974 431961 575948 863922 1727844 1871831 3743662 5615493 7487324 11230986 22461972