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22423720 = 23511241113
BaseRepresentation
bin101010110001…
…0100010101000
31120012020120011
41111202202220
521220024340
62120341304
7361412164
oct125424250
946166504
1022423720
1111726300
127614834
134851697
142d99ca4
151e7e0ea
hex15628a8

22423720 has 96 divisors (see below), whose sum is σ = 57312360. Its totient is φ = 7884800.

The previous prime is 22423711. The next prime is 22423729. The reversal of 22423720 is 2732422.

It is an interprime number because it is at equal distance from previous prime (22423711) and next prime (22423729).

It can be written as a sum of positive squares in 4 ways, for example, as 5134756 + 17288964 = 2266^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22423691 and 22423700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22423729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198384 + ... + 198496.

Almost surely, 222423720 is an apocalyptic number.

22423720 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 22423720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656180).

22423720 is an abundant number, since it is smaller than the sum of its proper divisors (34888640).

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

22423720 is a wasteful number, since it uses less digits than its factorization.

22423720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 22423720 is about 4735.3690458084. The cubic root of 22423720 is about 281.9914153281.

The spelling of 22423720 in words is "twenty-two million, four hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 113 121 164 205 220 226 242 328 410 440 451 452 484 565 605 820 902 904 968 1130 1210 1243 1640 1804 2255 2260 2420 2486 3608 4510 4520 4633 4840 4961 4972 6215 9020 9266 9922 9944 12430 13673 18040 18532 19844 23165 24805 24860 27346 37064 39688 46330 49610 49720 50963 54692 68365 92660 99220 101926 109384 136730 185320 198440 203852 254815 273460 407704 509630 546920 560593 1019260 1121186 2038520 2242372 2802965 4484744 5605930 11211860 22423720