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23009280 = 211357107
BaseRepresentation
bin101011111000…
…1100000000000
31121021222210120
41113301200000
521342244110
62141100240
7366401310
oct127614000
947258716
1023009280
1111a96238
127857680
1349c8078
1430ad440
152047870
hex15f1800

23009280 has 192 divisors, whose sum is σ = 84913920. Its totient is φ = 5210112.

The previous prime is 23009219. The next prime is 23009291. The reversal of 23009280 is 8290032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×230092802 = 1058853932236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23009280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214987 + ... + 215093.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 223009280 is an apocalyptic number.

23009280 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 23009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

23009280 is an abundant number, since it is smaller than the sum of its proper divisors (61904640).

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

23009280 is a wasteful number, since it uses less digits than its factorization.

23009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 23009280 is about 4796.7989326216. The cubic root of 23009280 is about 284.4249407923.

The spelling of 23009280 in words is "twenty-three million, nine thousand, two hundred eighty".