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23802240 = 2735721123
BaseRepresentation
bin101101011001…
…1000110000000
31122210021112110
41122303012000
522043132430
62210055320
7406213200
oct132630600
948707473
1023802240
1112487a80
127b7a540
134c14c87
143238400
1521527b0
hex16b3180

23802240 has 384 divisors, whose sum is σ = 100465920. Its totient is φ = 4730880.

The previous prime is 23802223. The next prime is 23802241. The reversal of 23802240 is 4220832.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23802241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034869 + ... + 1034891.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 223802240 is an apocalyptic number.

23802240 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 23802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

23802240 is an abundant number, since it is smaller than the sum of its proper divisors (76663680).

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

23802240 is a wasteful number, since it uses less digits than its factorization.

23802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23802240 is about 4878.7539392759. The cubic root of 23802240 is about 287.6554521633.

It can be divided in two parts, 23802 and 240, that added together give a palindrome (24042).

The spelling of 23802240 in words is "twenty-three million, eight hundred two thousand, two hundred forty".