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23233100020 = 22513293081313
BaseRepresentation
bin10101101000110011…
…001111100011110100
32012222011011202200221
4111220303033203310
5340040133200040
614401221544124
71451511043324
oct255063174364
965864152627
1023233100020
11994252aa09
124604875044
132263465480
1411a5849284
1590ea0674a
hex568ccf8f4

23233100020 has 48 divisors (see below), whose sum is σ = 54354378960. Its totient is φ = 8282566656.

The previous prime is 23233099999. The next prime is 23233100027. The reversal of 23233100020 is 2000133232.

It can be written as a sum of positive squares in 8 ways, for example, as 9168784 + 23223931236 = 3028^2 + 152394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23233099967 and 23233100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533117 + ... + 1548196.

It is an arithmetic number, because the mean of its divisors is an integer number (1132382895).

Almost surely, 223233100020 is an apocalyptic number.

23233100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23233100020 is an abundant number, since it is smaller than the sum of its proper divisors (31121278940).

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

23233100020 is a wasteful number, since it uses less digits than its factorization.

23233100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081364 (or 3081362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23233100020 its reverse (2000133232), we get a palindrome (25233233252).

The spelling of 23233100020 in words is "twenty-three billion, two hundred thirty-three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 3081313 6162626 12325252 15406565 30813130 40057069 61626260 80114138 89358077 160228276 178716154 200285345 357432308 400570690 446790385 801141380 893580770 1161655001 1787161540 2323310002 4646620004 5808275005 11616550010 23233100020