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23144940 = 22345713157
BaseRepresentation
bin101100001001…
…0100111101100
31121112212220000
41120102213230
521411114230
62144024300
7400504650
oct130224754
947485800
1023144940
1112079155
127902090
134a44a40
143106a60
152072b60
hex16129ec

23144940 has 240 divisors, whose sum is σ = 89931072. Its totient is φ = 4852224.

The previous prime is 23144921. The next prime is 23144963. The reversal of 23144940 is 4944132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147342 + ... + 147498.

Almost surely, 223144940 is an apocalyptic number.

23144940 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 23144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44965536).

23144940 is an abundant number, since it is smaller than the sum of its proper divisors (66786132).

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

23144940 is a wasteful number, since it uses less digits than its factorization.

23144940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23144940 is about 4810.9188311590. The cubic root of 23144940 is about 284.9828244497.

The spelling of 23144940 in words is "twenty-three million, one hundred forty-four thousand, nine hundred forty".