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22399944 = 2337151883
BaseRepresentation
bin101010101110…
…0101111001000
31120011000221120
41111130233020
521213244234
62120035240
7361252650
oct125345710
946130846
1022399944
111170a456
127602b20
134843908
142d91360
151e77049
hex155cbc8

22399944 has 64 divisors (see below), whose sum is σ = 64496640. Its totient is φ = 6350400.

The previous prime is 22399943. The next prime is 22399961. The reversal of 22399944 is 44999322.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22399896 and 22399905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22399943) 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, 24927 + ... + 25809.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 222399944 is an apocalyptic number.

22399944 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 22399944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248320).

22399944 is an abundant number, since it is smaller than the sum of its proper divisors (42096696).

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

22399944 is a wasteful number, since it uses less digits than its factorization.

22399944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 22399944 is about 4732.8579103962. The cubic root of 22399944 is about 281.8917143724.

The spelling of 22399944 in words is "twenty-two million, three hundred ninety-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 883 906 1057 1208 1766 1812 2114 2649 3171 3532 3624 4228 5298 6181 6342 7064 8456 10596 12362 12684 18543 21192 24724 25368 37086 49448 74172 133333 148344 266666 399999 533332 799998 933331 1066664 1599996 1866662 2799993 3199992 3733324 5599986 7466648 11199972 22399944