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23132022200 = 23527151109423
BaseRepresentation
bin10101100010110001…
…101010010110111000
32012201002222110222222
4111202301222112320
5334333244202300
614343211303212
71446142641650
oct254261522670
965632873888
1023132022200
1198a0472721
124596a4ab08
132248535201
141196257360
15905bdc785
hex562c6a5b8

23132022200 has 96 divisors (see below), whose sum is σ = 61872706560. Its totient is φ = 7878384000.

The previous prime is 23132022181. The next prime is 23132022209. The reversal of 23132022200 is 222023132.

It is a super-2 number, since 2×231320222002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132022209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 156689 + ... + 266111.

It is an arithmetic number, because the mean of its divisors is an integer number (644507360).

Almost surely, 223132022200 is an apocalyptic number.

23132022200 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 23132022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30936353280).

23132022200 is an abundant number, since it is smaller than the sum of its proper divisors (38740684360).

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

23132022200 is a wasteful number, since it uses less digits than its factorization.

23132022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109597 (or 109588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23132022200 its reverse (222023132), we get a palindrome (23354045332).

The spelling of 23132022200 in words is "twenty-three billion, one hundred thirty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 1057 1208 1400 1510 2114 3020 3775 4228 5285 6040 7550 8456 10570 15100 21140 26425 30200 42280 52850 105700 109423 211400 218846 437692 547115 765961 875384 1094230 1531922 2188460 2735575 3063844 3829805 4376920 5471150 6127688 7659610 10942300 15319220 16522873 19149025 21884600 30638440 33045746 38298050 66091492 76596100 82614365 115660111 132182984 153192200 165228730 231320222 330457460 413071825 462640444 578300555 660914920 826143650 925280888 1156601110 1652287300 2313202220 2891502775 3304574600 4626404440 5783005550 11566011100 23132022200