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23413034000 = 2453232917551
BaseRepresentation
bin10101110011100001…
…101000110000010000
32020102200202100201102
4111303201220300100
5340422214042000
614431130323532
71456124335226
oct256341506020
966380670642
1023413034000
119a25057a84
124654b895a8
132291815295
1411c16c6b16
159206ea3d5
hex573868c10

23413034000 has 160 divisors (see below), whose sum is σ = 61114659840. Its totient is φ = 8648640000.

The previous prime is 23413033957. The next prime is 23413034003. The reversal of 23413034000 is 43031432.

It is a super-2 number, since 2×234130340002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23413034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325225 + ... + 1342775.

It is an arithmetic number, because the mean of its divisors is an integer number (381966624).

Almost surely, 223413034000 is an apocalyptic number.

23413034000 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 23413034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30557329920).

23413034000 is an abundant number, since it is smaller than the sum of its proper divisors (37701625840).

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

23413034000 is a wasteful number, since it uses less digits than its factorization.

23413034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23413034000 its reverse (43031432), we get a palindrome (23456065432).

The spelling of 23413034000 in words is "twenty-three billion, four hundred thirteen million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 40 46 50 58 80 92 100 115 116 125 145 184 200 230 232 250 290 368 400 460 464 500 575 580 667 725 920 1000 1150 1160 1334 1450 1840 2000 2300 2320 2668 2875 2900 3335 3625 4600 5336 5750 5800 6670 7250 9200 10672 11500 11600 13340 14500 16675 17551 23000 26680 29000 33350 35102 46000 53360 58000 66700 70204 83375 87755 133400 140408 166750 175510 266800 280816 333500 351020 403673 438775 508979 667000 702040 807346 877550 1017958 1334000 1404080 1614692 1755100 2018365 2035916 2193875 2544895 3229384 3510200 4036730 4071832 4387750 5089790 6458768 7020400 8073460 8143664 8775500 10091825 10179580 11706517 12724475 16146920 17551000 20183650 20359160 23413034 25448950 32293840 35102000 40367300 40718320 46826068 50459125 50897900 58532585 63622375 80734600 93652136 100918250 101795800 117065170 127244750 161469200 187304272 201836500 203591600 234130340 254489500 292662925 403673000 468260680 508979000 585325850 807346000 936521360 1017958000 1170651700 1463314625 2341303400 2926629250 4682606800 5853258500 11706517000 23413034000