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23446827000 = 23375371151
BaseRepresentation
bin10101110101100010…
…100010111111111000
32020112001100020000000
4111311202202333320
5341004341431000
614434334513000
71460014512132
oct256542427770
966461306000
1023446827000
119a42139183
124664365760
13229881783c
1411c5da2052
15923673000
hex5758a2ff8

23446827000 has 512 divisors, whose sum is σ = 83997388800. Its totient is φ = 6123600000.

The previous prime is 23446826983. The next prime is 23446827011. The reversal of 23446827000 is 72864432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155276925 + ... + 155277075.

It is an arithmetic number, because the mean of its divisors is an integer number (164057400).

Almost surely, 223446827000 is an apocalyptic number.

23446827000 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 23446827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41998694400).

23446827000 is an abundant number, since it is smaller than the sum of its proper divisors (60550561800).

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

23446827000 is an equidigital number, since it uses as much as digits as its factorization.

23446827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23446827000 in words is "twenty-three billion, four hundred forty-six million, eight hundred twenty-seven thousand".