Search a number
-
+
23300205504 = 2631012514787
BaseRepresentation
bin10101101100110011…
…001110101111000000
32020010211110002010020
4111230303032233000
5340204323034004
614412020133440
71453254323202
oct255463165700
966124402106
1023300205504
1199773a4294
124623237280
13227432c664
1411b0716772
1591585e8d9
hex56cccebc0

23300205504 has 112 divisors (see below), whose sum is σ = 62519942016. Its totient is φ = 7657600000.

The previous prime is 23300205497. The next prime is 23300205581. The reversal of 23300205504 is 40550200332.

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

It is a congruent number.

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, 4864999 + ... + 4869785.

It is an arithmetic number, because the mean of its divisors is an integer number (558213768).

Almost surely, 223300205504 is an apocalyptic number.

23300205504 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 23300205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31259971008).

23300205504 is an abundant number, since it is smaller than the sum of its proper divisors (39219736512).

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

23300205504 is a wasteful number, since it uses less digits than its factorization.

23300205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 23300205504 its reverse (40550200332), we get a palindrome (63850405836).

The spelling of 23300205504 in words is "twenty-three billion, three hundred million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 251 303 404 502 606 753 808 1004 1212 1506 1616 2008 2424 3012 3232 4016 4787 4848 6024 6464 8032 9574 9696 12048 14361 16064 19148 19392 24096 25351 28722 38296 48192 50702 57444 76053 76592 101404 114888 152106 153184 202808 229776 304212 306368 405616 459552 483487 608424 811232 919104 966974 1201537 1216848 1450461 1622464 1933948 2403074 2433696 2900922 3604611 3867896 4806148 4867392 5801844 7209222 7735792 9612296 11603688 14418444 15471584 19224592 23207376 28836888 30943168 38449184 46414752 57673776 76898368 92829504 115347552 121355237 230695104 242710474 364065711 485420948 728131422 970841896 1456262844 1941683792 2912525688 3883367584 5825051376 7766735168 11650102752 23300205504