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22338940 = 22513151569
BaseRepresentation
bin101010100110…
…1110101111100
31120000221021011
41111031311330
521204321230
62114445004
7360610051
oct125156574
946027234
1022338940
1111678638
127593764
134821c10
142d77028
151e63e2a
hex154dd7c

22338940 has 48 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 8179200.

The previous prime is 22338931. The next prime is 22338947. The reversal of 22338940 is 4983322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22338947) 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, 38976 + ... + 39544.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 222338940 is an apocalyptic number.

22338940 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 22338940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472160).

22338940 is an abundant number, since it is smaller than the sum of its proper divisors (28605380).

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

22338940 is a wasteful number, since it uses less digits than its factorization.

22338940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 22338940 is about 4726.4087846905. The cubic root of 22338940 is about 281.6355804463.

The spelling of 22338940 in words is "twenty-two million, three hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 569 604 755 1138 1510 1963 2276 2845 3020 3926 5690 7397 7852 9815 11380 14794 19630 29588 36985 39260 73970 85919 147940 171838 343676 429595 859190 1116947 1718380 2233894 4467788 5584735 11169470 22338940