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23214400040 = 2351373611549
BaseRepresentation
bin10101100111101011…
…111010001000101000
32012220211222201011002
4111213223322020220
5340020341300130
614355313054132
71451163100406
oct254753721050
965824881132
1023214400040
119932a18387
1245ba557348
13225c6189b0
1411a317c476
1590d060b45
hex567afa228

23214400040 has 64 divisors (see below), whose sum is σ = 57020922000. Its totient is φ = 8454039552.

The previous prime is 23214400021. The next prime is 23214400049. The reversal of 23214400040 is 4000441232.

It can be written as a sum of positive squares in 8 ways, for example, as 15125556196 + 8088843844 = 122986^2 + 89938^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23214399985 and 23214400021.

It is not an unprimeable number, because it can be changed into a prime (23214400049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267815 + ... + 343734.

Almost surely, 223214400040 is an apocalyptic number.

23214400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214400040 is an abundant number, since it is smaller than the sum of its proper divisors (33806521960).

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

23214400040 is a wasteful number, since it uses less digits than its factorization.

23214400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611646 (or 611642 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23214400040 its reverse (4000441232), we get a palindrome (27214841272).

The spelling of 23214400040 in words is "twenty-three billion, two hundred fourteen million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 18980 37960 611549 1223098 2446196 3057745 4892392 6115490 7950137 12230980 15900274 24461960 31800548 39750685 44643077 63601096 79501370 89286154 159002740 178572308 223215385 318005480 357144616 446430770 580360001 892861540 1160720002 1785723080 2321440004 2901800005 4642880008 5803600010 11607200020 23214400040