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23122430200 = 23524716315091
BaseRepresentation
bin10101100010001101…
…000100100011111000
32012200102221011020201
4111202031010203320
5334323320231300
614342225531544
71445665261642
oct254215044370
965612834221
1023122430200
119896011051
1245937a3bb4
13224655727c
141194c7b892
15904e4566a
hex5623448f8

23122430200 has 96 divisors (see below), whose sum is σ = 55243964160. Its totient is φ = 8996054400.

The previous prime is 23122430189. The next prime is 23122430203. The reversal of 23122430200 is 203422132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122430203) 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, 1524655 + ... + 1539745.

It is an arithmetic number, because the mean of its divisors is an integer number (575457960).

Almost surely, 223122430200 is an apocalyptic number.

23122430200 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 23122430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27621982080).

23122430200 is an abundant number, since it is smaller than the sum of its proper divisors (32121533960).

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

23122430200 is a wasteful number, since it uses less digits than its factorization.

23122430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15317 (or 15308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23122430200 its reverse (203422132), we get a palindrome (23325852332).

The spelling of 23122430200 in words is "twenty-three billion, one hundred twenty-two million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 163 188 200 235 326 376 470 652 815 940 1175 1304 1630 1880 2350 3260 4075 4700 6520 7661 8150 9400 15091 15322 16300 30182 30644 32600 38305 60364 61288 75455 76610 120728 150910 153220 191525 301820 306440 377275 383050 603640 709277 754550 766100 1418554 1509100 1532200 2459833 2837108 3018200 3546385 4919666 5674216 7092770 9839332 12299165 14185540 17731925 19678664 24598330 28371080 35463850 49196660 61495825 70927700 98393320 115612151 122991650 141855400 231224302 245983300 462448604 491966600 578060755 924897208 1156121510 2312243020 2890303775 4624486040 5780607550 11561215100 23122430200