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22628040 = 23351011867
BaseRepresentation
bin101011001010…
…0011011001000
31120120121211120
41112110123020
521243044130
62124555240
7363222651
oct126243310
946517746
1022628040
1111855866
1276b2b20
1348c3696
143010528
151ebe910
hex15946c8

22628040 has 64 divisors (see below), whose sum is σ = 68592960. Its totient is φ = 5971200.

The previous prime is 22628027. The next prime is 22628051. The reversal of 22628040 is 4082622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22628040.

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 15 ways as a sum of consecutive naturals, for example, 11187 + ... + 13053.

It is an arithmetic number, because the mean of its divisors is an integer number (1071765).

Almost surely, 222628040 is an apocalyptic number.

22628040 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 22628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34296480).

22628040 is an abundant number, since it is smaller than the sum of its proper divisors (45964920).

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

22628040 is a wasteful number, since it uses less digits than its factorization.

22628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22628040 is about 4756.8939445819. The cubic root of 22628040 is about 282.8453082926.

The spelling of 22628040 in words is "twenty-two million, six hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 1867 2020 2424 3030 3734 4040 5601 6060 7468 9335 11202 12120 14936 18670 22404 28005 37340 44808 56010 74680 112020 188567 224040 377134 565701 754268 942835 1131402 1508536 1885670 2262804 2828505 3771340 4525608 5657010 7542680 11314020 22628040