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23202142404 = 22372916075927
BaseRepresentation
bin10101100110111101…
…001001100011000100
32012212222220221211120
4111212331021203010
5340004222024104
614354154233540
71450653646020
oct254675114304
965788827746
1023202142404
119927006001
1245b64258b0
132259c1665c
1411a16ab380
1590be3dcd9
hex566f498c4

23202142404 has 96 divisors (see below), whose sum is σ = 64056545280. Its totient is φ = 6395528832.

The previous prime is 23202142399. The next prime is 23202142459. The reversal of 23202142404 is 40424120232.

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 31 ways as a sum of consecutive naturals, for example, 3911689 + ... + 3917615.

It is an arithmetic number, because the mean of its divisors is an integer number (667255680).

Almost surely, 223202142404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23202142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32028272640).

23202142404 is an abundant number, since it is smaller than the sum of its proper divisors (40854402876).

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

23202142404 is a wasteful number, since it uses less digits than its factorization.

23202142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23202142404 its reverse (40424120232), we get a palindrome (63626262636).

The spelling of 23202142404 in words is "twenty-three billion, two hundred two million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1607 2436 3214 4821 5927 6428 9642 11249 11854 17781 19284 22498 23708 33747 35562 41489 44996 46603 67494 71124 82978 93206 124467 134988 139809 165956 171883 186412 248934 279618 326221 343766 497868 515649 559236 652442 687532 978663 1031298 1203181 1304884 1957326 2062596 2406362 3609543 3914652 4812724 7219086 9524689 14438172 19049378 28574067 38098756 57148134 66672823 114296268 133345646 200018469 266691292 276215981 400036938 552431962 800073876 828647943 1104863924 1657295886 1933511867 3314591772 3867023734 5800535601 7734047468 11601071202 23202142404