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23230042400 = 2552411076619
BaseRepresentation
bin10101101000100111…
…100101000100100000
32012221221102102102202
4111220213211010200
5340033342324100
614401032232332
71451443050065
oct255047450440
965857372382
1023230042400
119940831754
12460383b6a8
132262934826
1411a5290c6c
1590e6007d5
hex5689e5120

23230042400 has 144 divisors (see below), whose sum is σ = 58645308960. Its totient is φ = 8979302400.

The previous prime is 23230042399. The next prime is 23230042471. The reversal of 23230042400 is 424003232.

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 23 ways as a sum of consecutive naturals, for example, 3506291 + ... + 3512909.

It is an arithmetic number, because the mean of its divisors is an integer number (407259090).

Almost surely, 223230042400 is an apocalyptic number.

23230042400 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 23230042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29322654480).

23230042400 is an abundant number, since it is smaller than the sum of its proper divisors (35415266560).

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

23230042400 is a wasteful number, since it uses less digits than its factorization.

23230042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6774 counting only the distinct ones).

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

Adding to 23230042400 its reverse (424003232), we get a palindrome (23654045632).

The spelling of 23230042400 in words is "twenty-three billion, two hundred thirty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 107 160 164 200 205 214 328 400 410 428 535 656 800 820 856 1025 1070 1312 1640 1712 2050 2140 2675 3280 3424 4100 4280 4387 5350 6560 6619 8200 8560 8774 10700 13238 16400 17120 17548 21400 21935 26476 32800 33095 35096 42800 43870 52952 66190 70192 85600 87740 105904 109675 132380 140384 165475 175480 211808 219350 264760 271379 330950 350960 438700 529520 542758 661900 701920 708233 877400 1059040 1085516 1323800 1356895 1416466 1754800 2171032 2647600 2713790 2832932 3509600 3541165 4342064 5295200 5427580 5665864 6784475 7082330 8684128 10855160 11331728 13568950 14164660 17705825 21710320 22663456 27137900 28329320 29037553 35411650 43420640 54275800 56658640 58075106 70823300 108551600 113317280 116150212 141646600 145187765 217103200 232300424 283293200 290375530 464600848 566586400 580751060 725938825 929201696 1161502120 1451877650 2323004240 2903755300 4646008480 5807510600 11615021200 23230042400