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22882968 = 2332893571
BaseRepresentation
bin101011101001…
…0101010011000
31121001120112100
41113102222120
521324223333
62134243400
7365334123
oct127225230
947046470
1022882968
1111a0a349
1277b6560
134982724
1430793ba
152020213
hex15d2a98

22882968 has 48 divisors (see below), whose sum is σ = 62688600. Its totient is φ = 7539840.

The previous prime is 22882957. The next prime is 22882997. The reversal of 22882968 is 86928822.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4623 + ... + 8193.

Almost surely, 222882968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22882968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31344300).

22882968 is an abundant number, since it is smaller than the sum of its proper divisors (39805632).

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

22882968 is a wasteful number, since it uses less digits than its factorization.

22882968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3665 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 22882968 is about 4783.6145329656. The cubic root of 22882968 is about 283.9035247261.

The spelling of 22882968 in words is "twenty-two million, eight hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 3571 6408 7142 10713 14284 21426 28568 32139 42852 64278 85704 128556 257112 317819 635638 953457 1271276 1906914 2542552 2860371 3813828 5720742 7627656 11441484 22882968