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22328680 = 23511311637
BaseRepresentation
bin101010100101…
…1010101101000
31120000102012011
41111023111220
521204004210
62114325304
7360535123
oct125132550
946012164
1022328680
1111670960
127589834
13481a34a
142d733ba
151e60d8a
hex154b568

22328680 has 64 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 7852800.

The previous prime is 22328659. The next prime is 22328681. The reversal of 22328680 is 8682322.

It is a super-3 number, since 3×223286803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (22328681) 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, 12822 + ... + 14458.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 222328680 is an apocalyptic number.

22328680 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 22328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

22328680 is an abundant number, since it is smaller than the sum of its proper divisors (34280600).

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

22328680 is a wasteful number, since it uses less digits than its factorization.

22328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 22328680 is about 4725.3232693648. The cubic root of 22328680 is about 281.5924565924.

The spelling of 22328680 in words is "twenty-two million, three hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1637 1705 2728 3274 3410 6548 6820 8185 13096 13640 16370 18007 32740 36014 50747 65480 72028 90035 101494 144056 180070 202988 253735 360140 405976 507470 558217 720280 1014940 1116434 2029880 2232868 2791085 4465736 5582170 11164340 22328680