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23332122320 = 2451322434733
BaseRepresentation
bin10101101110101100…
…111110111011010000
32020020001111121202112
4111232230332323100
5340241010403240
614415120204452
71454122524143
oct255654767320
966201447675
1023332122320
119993413921
124631a69728
13227ab25c50
1411b4a6405a
15918566665
hex56eb3eed0

23332122320 has 40 divisors (see below), whose sum is σ = 58420047336. Its totient is φ = 8614937088.

The previous prime is 23332122301. The next prime is 23332122329. The reversal of 23332122320 is 2322123332.

It can be written as a sum of positive squares in 4 ways, for example, as 1971715216 + 21360407104 = 44404^2 + 146152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×233321223203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332122329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11216327 + ... + 11218406.

Almost surely, 223332122320 is an apocalyptic number.

23332122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23332122320 is an abundant number, since it is smaller than the sum of its proper divisors (35087925016).

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

23332122320 is a wasteful number, since it uses less digits than its factorization.

23332122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22434759 (or 22434753 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23332122320 its reverse (2322123332), we get a palindrome (25654245652).

The spelling of 23332122320 in words is "twenty-three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 22434733 44869466 89738932 112173665 179477864 224347330 291651529 358955728 448694660 583303058 897389320 1166606116 1458257645 1794778640 2333212232 2916515290 4666424464 5833030580 11666061160 23332122320