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23203142304 = 2531914598719
BaseRepresentation
bin10101100111000000…
…111101101010100000
32012220001210202102220
4111213000331222200
5340010001023204
614354231511040
71450665312126
oct254700755240
965801722386
1023203142304
119927629271
1245b6828480
13225a1a6804
1411a188b916
1590c08a1d9
hex56703daa0

23203142304 has 96 divisors (see below), whose sum is σ = 64165248000. Its totient is φ = 7321446144.

The previous prime is 23203142251. The next prime is 23203142387. The reversal of 23203142304 is 40324130232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656857 + ... + 2665575.

It is an arithmetic number, because the mean of its divisors is an integer number (668388000).

Almost surely, 223203142304 is an apocalyptic number.

23203142304 is a gapful number since it is divisible by the number (24) 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 23203142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32082624000).

23203142304 is an abundant number, since it is smaller than the sum of its proper divisors (40962105696).

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

23203142304 is a wasteful number, since it uses less digits than its factorization.

23203142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23203142304 its reverse (40324130232), we get a palindrome (63527272536).

The spelling of 23203142304 in words is "twenty-three billion, two hundred three million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1459 1824 2918 4377 5836 8719 8754 11672 17438 17508 23344 26157 27721 34876 35016 46688 52314 55442 69752 70032 83163 104628 110884 139504 140064 165661 166326 209256 221768 279008 331322 332652 418512 443536 496983 662644 665304 837024 887072 993966 1325288 1330608 1987932 2650576 2661216 3975864 5301152 7951728 12721021 15903456 25442042 38163063 50884084 76326126 101768168 152652252 203536336 241699399 305304504 407072672 483398798 610609008 725098197 966797596 1221218016 1450196394 1933595192 2900392788 3867190384 5800785576 7734380768 11601571152 23203142304