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23203402240 = 29541221069
BaseRepresentation
bin10101100111000001…
…111101001000000000
32012220002021222000011
4111213001331020000
5340010032332430
614354241234304
71451000444014
oct254701751000
965802258004
1023203402240
119927796597
1245b6932994
13225a267c15
1411a1918544
1590c0dc22a
hex56707d200

23203402240 has 80 divisors (see below), whose sum is σ = 56990961720. Its totient is φ = 9054945280.

The previous prime is 23203402231. The next prime is 23203402249. The reversal of 23203402240 is 4220430232.

It is an interprime number because it is at equal distance from previous prime (23203402231) and next prime (23203402249).

It can be written as a sum of positive squares in 4 ways, for example, as 20000747776 + 3202654464 = 141424^2 + 56592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×232034022402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23203402249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5575 + ... + 215494.

Almost surely, 223203402240 is an apocalyptic number.

23203402240 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 23203402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28495480860).

23203402240 is an abundant number, since it is smaller than the sum of its proper divisors (33787559480).

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

23203402240 is an equidigital number, since it uses as much as digits as its factorization.

23203402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221133 (or 221117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 23203402240 its reverse (4220430232), we get a palindrome (27423832472).

The spelling of 23203402240 in words is "twenty-three billion, two hundred three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1280 1312 1640 2560 2624 3280 5248 6560 10496 13120 20992 26240 52480 104960 221069 442138 884276 1105345 1768552 2210690 3537104 4421380 7074208 8842760 9063829 14148416 17685520 18127658 28296832 35371040 36255316 45319145 56593664 70742080 72510632 90638290 113187328 141484160 145021264 181276580 282968320 290042528 362553160 565936640 580085056 725106320 1160170112 1450212640 2320340224 2900425280 4640680448 5800850560 11601701120 23203402240