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23222720 = 265312341
BaseRepresentation
bin101100010010…
…1100111000000
31121200211120202
41120211213000
521421111340
62145424332
7401250503
oct130454700
947624522
1023222720
1112121634
12793b0a8
134a71271
14312713a
15208ac15
hex16259c0

23222720 has 56 divisors (see below), whose sum is σ = 57107328. Its totient is φ = 8985600.

The previous prime is 23222713. The next prime is 23222723. The reversal of 23222720 is 2722232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23222692 and 23222701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8750 + ... + 11090.

Almost surely, 223222720 is an apocalyptic number.

23222720 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 23222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553664).

23222720 is an abundant number, since it is smaller than the sum of its proper divisors (33884608).

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

23222720 is a wasteful number, since it uses less digits than its factorization.

23222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 23222720 is about 4818.9957460035. The cubic root of 23222720 is about 285.3017016400.

Adding to 23222720 its reverse (2722232), we get a palindrome (25944952).

The spelling of 23222720 in words is "twenty-three million, two hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2341 2480 4682 4960 9364 9920 11705 18728 23410 37456 46820 72571 74912 93640 145142 149824 187280 290284 362855 374560 580568 725710 749120 1161136 1451420 2322272 2902840 4644544 5805680 11611360 23222720