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23239407700 = 22523714814241
BaseRepresentation
bin10101101001001011…
…010011100001010100
32012222121001020012201
4111221023103201110
5340043242021300
614402005054244
71451615464135
oct255113234124
965877036181
1023239407700
119946048a73
1246069b7384
132264863522
1411a660bc8c
1591035066a
hex5692d3854

23239407700 has 72 divisors (see below), whose sum is σ = 51839666424. Its totient is φ = 9036288000.

The previous prime is 23239407689. The next prime is 23239407733. The reversal of 23239407700 is 770493232.

It can be written as a sum of positive squares in 12 ways, for example, as 3283344 + 23236124356 = 1812^2 + 152434^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 23239407700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5477580 + ... + 5481820.

It is an arithmetic number, because the mean of its divisors is an integer number (719995367).

Almost surely, 223239407700 is an apocalyptic number.

23239407700 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 23239407700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25919833212).

23239407700 is an abundant number, since it is smaller than the sum of its proper divisors (28600258724).

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

23239407700 is a wasteful number, since it uses less digits than its factorization.

23239407700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 23239407700 in words is "twenty-three billion, two hundred thirty-nine million, four hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1481 1850 2962 3700 4241 5924 7405 8482 14810 16964 21205 29620 37025 42410 54797 74050 84820 106025 109594 148100 156917 212050 219188 273985 313834 424100 547970 627668 784585 1095940 1369925 1569170 2739850 3138340 3922925 5479700 6280921 7845850 12561842 15691700 25123684 31404605 62809210 125618420 157023025 232394077 314046050 464788154 628092100 929576308 1161970385 2323940770 4647881540 5809851925 11619703850 23239407700