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23522141424 = 24337127104287
BaseRepresentation
bin10101111010000001…
…110110010011110000
32020201022001120222010
4111322001312103300
5341133132011144
614450025042520
71461620621535
oct257201662360
966638046863
1023522141424
119a806aa001
124685626440
1322ab2c72a2
1411d1da8d8c
1592a09d5b9
hex57a0764f0

23522141424 has 80 divisors (see below), whose sum is σ = 62899847168. Its totient is φ = 7568660736.

The previous prime is 23522141411. The next prime is 23522141453. The reversal of 23522141424 is 42414122532.

It is a happy number.

It is a super-2 number, since 2×235221414242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23522141391 and 23522141400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173409 + ... + 277695.

Almost surely, 223522141424 is an apocalyptic number.

23522141424 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 23522141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449923584).

23522141424 is an abundant number, since it is smaller than the sum of its proper divisors (39377705744).

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

23522141424 is a wasteful number, since it uses less digits than its factorization.

23522141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104462 (or 104456 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 23522141424 its reverse (42414122532), we get a palindrome (65936263956).

The spelling of 23522141424 in words is "twenty-three billion, five hundred twenty-two million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 296 381 444 508 592 762 888 1016 1524 1776 2032 3048 4699 6096 9398 14097 18796 28194 37592 56388 75184 104287 112776 208574 225552 312861 417148 625722 834296 1251444 1668592 2502888 3858619 5005776 7717238 11575857 13244449 15434476 23151714 26488898 30868952 39733347 46303428 52977796 61737904 79466694 92606856 105955592 158933388 185213712 211911184 317866776 490044613 635733552 980089226 1470133839 1960178452 2940267678 3920356904 5880535356 7840713808 11761070712 23522141424