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23140400 = 2452174183
BaseRepresentation
bin101100001000…
…1100000110000
31121112122122212
41120101200300
521410443100
62143551252
7400455503
oct130214060
947478585
1023140400
11120757a8
1278bb528
134a4295a
14310513a
152071635
hex1611830

23140400 has 120 divisors (see below), whose sum is σ = 61027344. Its totient is φ = 8396800.

The previous prime is 23140399. The next prime is 23140409. The reversal of 23140400 is 404132.

It is a super-2 number, since 2×231404002 = 1070956224320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23140409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278759 + ... + 278841.

Almost surely, 223140400 is an apocalyptic number.

23140400 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 23140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30513672).

23140400 is an abundant number, since it is smaller than the sum of its proper divisors (37886944).

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

23140400 is a wasteful number, since it uses less digits than its factorization.

23140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23140400 is about 4810.4469646801. The cubic root of 23140400 is about 284.9641896116.

Adding to 23140400 its reverse (404132), we get a palindrome (23544532).

The spelling of 23140400 in words is "twenty-three million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 41 50 68 80 82 83 85 100 136 164 166 170 200 205 272 328 332 340 400 410 415 425 656 664 680 697 820 830 850 1025 1328 1360 1394 1411 1640 1660 1700 2050 2075 2788 2822 3280 3320 3400 3403 3485 4100 4150 5576 5644 6640 6800 6806 6970 7055 8200 8300 11152 11288 13612 13940 14110 16400 16600 17015 17425 22576 27224 27880 28220 33200 34030 34850 35275 54448 55760 56440 57851 68060 69700 70550 85075 112880 115702 136120 139400 141100 170150 231404 272240 278800 282200 289255 340300 462808 564400 578510 680600 925616 1157020 1361200 1446275 2314040 2892550 4628080 5785100 11570200 23140400