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23334769920 = 283571178919
BaseRepresentation
bin10101101110110111…
…000101010100000000
32020020020111010120210
4111232313011110000
5340242200114140
614415253034120
71454154162120
oct255667052400
966206433523
1023334769920
119994962020
124632925940
13227b542087
1411b5152c80
159188dad80
hex56edc5500

23334769920 has 288 divisors, whose sum is σ = 92915988480. Its totient is φ = 4848721920.

The previous prime is 23334769907. The next prime is 23334769933. The reversal of 23334769920 is 2996743332.

It is an interprime number because it is at equal distance from previous prime (23334769907) and next prime (23334769933).

It is a super-2 number, since 2×233347699202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23334769920.

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, 256221 + ... + 335139.

It is an arithmetic number, because the mean of its divisors is an integer number (322624960).

Almost surely, 223334769920 is an apocalyptic number.

23334769920 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 23334769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46457994240).

23334769920 is an abundant number, since it is smaller than the sum of its proper divisors (69581218560).

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

23334769920 is a wasteful number, since it uses less digits than its factorization.

23334769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78961 (or 78947 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 23334769920 in words is "twenty-three billion, three hundred thirty-four million, seven hundred sixty-nine thousand, nine hundred twenty".