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23322122320 = 2457210755603
BaseRepresentation
bin10101101110000110…
…110101100001010000
32020012100200120100011
4111232012311201100
5340230430403240
614414122004304
71453641524500
oct255606654120
966170616304
1023322122320
119988803762
12462a646694
132278a343a3
1411b35bda00
1591773d6ea
hex56e1b5850

23322122320 has 120 divisors (see below), whose sum is σ = 63667469664. Its totient is φ = 7921283328.

The previous prime is 23322122293. The next prime is 23322122321. The reversal of 23322122320 is 2322122332.

It is a junction number, because it is equal to n+sod(n) for n = 23322122291 and 23322122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322122321) 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, 391639 + ... + 447241.

Almost surely, 223322122320 is an apocalyptic number.

23322122320 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 23322122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31833734832).

23322122320 is an abundant number, since it is smaller than the sum of its proper divisors (40345347344).

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

23322122320 is a wasteful number, since it uses less digits than its factorization.

23322122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55737 (or 55724 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23322122320 its reverse (2322122332), we get a palindrome (25644244652).

The spelling of 23322122320 in words is "twenty-three billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 107 112 140 196 214 245 280 392 428 490 535 560 749 784 856 980 1070 1498 1712 1960 2140 2996 3745 3920 4280 5243 5992 7490 8560 10486 11984 14980 20972 26215 29960 41944 52430 55603 59920 83888 104860 111206 209720 222412 278015 389221 419440 444824 556030 778442 889648 1112060 1556884 1946105 2224120 2724547 3113768 3892210 4448240 5449094 5949521 6227536 7784420 10898188 11899042 13622735 15568840 21796376 23798084 27245470 29747605 31137680 41646647 43592752 47596168 54490940 59495210 83293294 95192336 108981880 118990420 166586588 208233235 217963760 237980840 291526529 333173176 416466470 475961680 583053058 666346352 832932940 1166106116 1457632645 1665865880 2332212232 2915265290 3331731760 4664424464 5830530580 11661061160 23322122320