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23203402400 = 2552260911117
BaseRepresentation
bin10101100111000001…
…111101001010100000
32012220002021222020002
4111213001331022200
5340010032334100
614354241235132
71451000444333
oct254701751240
965802258202
1023203402400
119927796722
1245b6932aa8
13225a268009
1411a191861a
1590c0dc2d5
hex56707d2a0

23203402400 has 72 divisors (see below), whose sum is σ = 56672114940. Its totient is φ = 9276968960.

The previous prime is 23203402399. The next prime is 23203402423. The reversal of 23203402400 is 420430232.

It can be written as a sum of positive squares in 6 ways, for example, as 3680606224 + 19522796176 = 60668^2 + 139724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2081642 + ... + 2092758.

Almost surely, 223203402400 is an apocalyptic number.

23203402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23203402400 is an abundant number, since it is smaller than the sum of its proper divisors (33468712540).

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

23203402400 is a wasteful number, since it uses less digits than its factorization.

23203402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23203402400 its reverse (420430232), we get a palindrome (23623832632).

The spelling of 23203402400 in words is "twenty-three billion, two hundred three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2609 5218 10436 11117 13045 20872 22234 26090 41744 44468 52180 55585 65225 83488 88936 104360 111170 130450 177872 208720 222340 260900 277925 355744 417440 444680 521800 555850 889360 1043600 1111700 1778720 2087200 2223400 4446800 8893600 29004253 58008506 116017012 145021265 232034024 290042530 464068048 580085060 725106325 928136096 1160170120 1450212650 2320340240 2900425300 4640680480 5800850600 11601701200 23203402400