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22420944 = 24327132959
BaseRepresentation
bin101010110000…
…1110111010000
31120012002202100
41111201313100
521214432234
62120320400
7361401120
oct125416720
946162670
1022420944
1111724207
127613100
134850340
142d98c80
151e7d399
hex1561dd0

22420944 has 240 divisors, whose sum is σ = 81244800. Its totient is φ = 5612544.

The previous prime is 22420939. The next prime is 22420949. The reversal of 22420944 is 44902422.

It is an interprime number because it is at equal distance from previous prime (22420939) and next prime (22420949).

It is a super-2 number, since 2×224209442 = 1005397459702272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379987 + ... + 380045.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 222420944 is an apocalyptic number.

22420944 is a gapful number since it is divisible by the number (24) 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 22420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

22420944 is an abundant number, since it is smaller than the sum of its proper divisors (58823856).

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

22420944 is a wasteful number, since it uses less digits than its factorization.

22420944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22420944 is about 4735.0759233617. The cubic root of 22420944 is about 281.9797782391.

The spelling of 22420944 in words is "twenty-two million, four hundred twenty thousand, nine hundred forty-four".