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23014304500 = 22531141102059
BaseRepresentation
bin10101011011110000…
…100110101011110100
32012101220110210200011
4111123300212223310
5334113130221000
614323404230004
71443213234445
oct253360465364
965356423604
1023014304500
11983aa7a670
12456353b304
13222a02a075
1411847732cc
158ea6d82ba
hex55bc26af4

23014304500 has 96 divisors (see below), whose sum is σ = 56170558080. Its totient is φ = 8164640000.

The previous prime is 23014304483. The next prime is 23014304507. The reversal of 23014304500 is 540341032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014304507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174471 + ... + 276529.

It is an arithmetic number, because the mean of its divisors is an integer number (585109980).

Almost surely, 223014304500 is an apocalyptic number.

23014304500 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 23014304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28085279040).

23014304500 is an abundant number, since it is smaller than the sum of its proper divisors (33156253580).

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

23014304500 is a wasteful number, since it uses less digits than its factorization.

23014304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102130 (or 102118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 23014304500 its reverse (540341032), we get a palindrome (23554645532).

The spelling of 23014304500 in words is "twenty-three billion, fourteen million, three hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 125 164 205 220 250 275 410 451 500 550 820 902 1025 1100 1375 1804 2050 2255 2750 4100 4510 5125 5500 9020 10250 11275 20500 22550 45100 56375 102059 112750 204118 225500 408236 510295 1020590 1122649 2041180 2245298 2551475 4184419 4490596 5102950 5613245 8368838 10205900 11226490 12757375 16737676 20922095 22452980 25514750 28066225 41844190 46028609 51029500 56132450 83688380 92057218 104610475 112264900 140331125 184114436 209220950 230143045 280662250 418441900 460286090 523052375 561324500 920572180 1046104750 1150715225 2092209500 2301430450 4602860900 5753576125 11507152250 23014304500