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23114023400 = 23521322938821
BaseRepresentation
bin10101100001101101…
…000000000111101000
32012122212010001021202
4111201231000013220
5334314142222100
614341325423332
71445533646216
oct254155000750
965585101252
1023114023400
119891299986
124590a0ab48
1322448a2930
141193acdcb6
159043347d5
hex561b401e8

23114023400 has 96 divisors (see below), whose sum is σ = 58128180600. Its totient is φ = 8496921600.

The previous prime is 23114023369. The next prime is 23114023409. The reversal of 23114023400 is 432041132.

It can be written as a sum of positive squares in 12 ways, for example, as 3056099524 + 20057923876 = 55282^2 + 141626^2 .

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 (23114023409) 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, 575990 + ... + 614810.

Almost surely, 223114023400 is an apocalyptic number.

23114023400 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 23114023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29064090300).

23114023400 is an abundant number, since it is smaller than the sum of its proper divisors (35014157200).

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

23114023400 is a wasteful number, since it uses less digits than its factorization.

23114023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39079 (or 39070 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23114023400 its reverse (432041132), we get a palindrome (23546064532).

The spelling of 23114023400 in words is "twenty-three billion, one hundred fourteen million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 229 260 325 458 520 650 916 1145 1300 1832 2290 2600 2977 4580 5725 5954 9160 11450 11908 14885 22900 23816 29770 38821 45800 59540 74425 77642 119080 148850 155284 194105 297700 310568 388210 504673 595400 776420 970525 1009346 1552840 1941050 2018692 2523365 3882100 4037384 5046730 7764200 8890009 10093460 12616825 17780018 20186920 25233650 35560036 44450045 50467300 71120072 88900090 100934600 115570117 177800180 222250225 231140234 355600360 444500450 462280468 577850585 889000900 924560936 1155701170 1778001800 2311402340 2889252925 4622804680 5778505850 11557011700 23114023400