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22942080 = 273257569
BaseRepresentation
bin101011110000…
…1000110000000
31121011120121200
41113201012000
521333121310
62135421200
7366001350
oct127410600
947146550
1022942080
1111a4a7a7
127824800
1349a35c5
143092b60
1520329c0
hex15e1180

22942080 has 192 divisors, whose sum is σ = 90698400. Its totient is φ = 5234688.

The previous prime is 22942079. The next prime is 22942081. The reversal of 22942080 is 8024922.

It is an interprime number because it is at equal distance from previous prime (22942079) and next prime (22942081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22942081) 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, 40036 + ... + 40604.

Almost surely, 222942080 is an apocalyptic number.

22942080 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 22942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349200).

22942080 is an abundant number, since it is smaller than the sum of its proper divisors (67756320).

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

22942080 is a wasteful number, since it uses less digits than its factorization.

22942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22942080 is about 4789.7891394090. The cubic root of 22942080 is about 284.1477773535.

The spelling of 22942080 in words is "twenty-two million, nine hundred forty-two thousand, eighty".