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23335042640 = 24572131094201
BaseRepresentation
bin10101101110111000…
…000111111001010000
32020020020222222200112
4111232320013321100
5340242232331030
614415302540452
71454156406200
oct255670077120
966206888615
1023335042640
119995028a08
124632a37728
13227b609250
1411b51c4400
15918941a95
hex56ee07e50

23335042640 has 240 divisors, whose sum is σ = 68606390160. Its totient is φ = 7315660800.

The previous prime is 23335042637. The next prime is 23335042669. The reversal of 23335042640 is 4624053332.

It can be written as a sum of positive squares in 8 ways, for example, as 4187125264 + 19147917376 = 64708^2 + 138376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23335042597 and 23335042606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5552540 + ... + 5556740.

It is an arithmetic number, because the mean of its divisors is an integer number (285859959).

Almost surely, 223335042640 is an apocalyptic number.

23335042640 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 23335042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303195080).

23335042640 is an abundant number, since it is smaller than the sum of its proper divisors (45271347520).

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

23335042640 is a wasteful number, since it uses less digits than its factorization.

23335042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 23335042640 its reverse (4624053332), we get a palindrome (27959095972).

The spelling of 23335042640 in words is "twenty-three billion, three hundred thirty-five million, forty-two thousand, six hundred forty".