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23778240 = 2635173147
BaseRepresentation
bin101101010110…
…1001111000000
31122202001121120
41122231033000
522041400430
62205352240
7406053213
oct132551700
948661546
1023778240
1112470a42
127b68680
134c07085
14322d77a
15214a610
hex16ad3c0

23778240 has 224 divisors, whose sum is σ = 84271104. Its totient is φ = 5652480.

The previous prime is 23778221. The next prime is 23778259. The reversal of 23778240 is 4287732.

It is an interprime number because it is at equal distance from previous prime (23778221) and next prime (23778259).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505897 + ... + 505943.

Almost surely, 223778240 is an apocalyptic number.

23778240 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 23778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

23778240 is an abundant number, since it is smaller than the sum of its proper divisors (60492864).

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

23778240 is a wasteful number, since it uses less digits than its factorization.

23778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 23778240 is about 4876.2936745032. The cubic root of 23778240 is about 287.5587378412.

The spelling of 23778240 in words is "twenty-three million, seven hundred seventy-eight thousand, two hundred forty".