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23322705120 = 253251113532137
BaseRepresentation
bin10101101110001001…
…000011110011100000
32020012101210011210100
4111232021003303200
5340231103030440
614414142302400
71453646502561
oct255611036340
966171704710
1023322705120
119989071610
12462a887a00
132278ba9740
1411b36d2168
15917806230
hex56e243ce0

23322705120 has 576 divisors, whose sum is σ = 95311629504. Its totient is φ = 5118197760.

The previous prime is 23322705079. The next prime is 23322705187. The reversal of 23322705120 is 2150722332.

It is a happy number.

It is a super-2 number, since 2×233227051202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10912692 + ... + 10914828.

It is an arithmetic number, because the mean of its divisors is an integer number (165471579).

Almost surely, 223322705120 is an apocalyptic number.

23322705120 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 23322705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47655814752).

23322705120 is an abundant number, since it is smaller than the sum of its proper divisors (71988924384).

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

23322705120 is a wasteful number, since it uses less digits than its factorization.

23322705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 23322705120 in words is "twenty-three billion, three hundred twenty-two million, seven hundred five thousand, one hundred twenty".