Search a number
-
+
23212232320 = 275234115493
BaseRepresentation
bin10101100111100011…
…101000111010000000
32012220200220120121011
4111213203220322000
5340014312413240
614355154410304
71451135501464
oct254743507200
965820816534
1023212232320
119931777782
1245b9890994
13225c03a114
1411a2b764a4
1590cc836ea
hex5678e8e80

23212232320 has 64 divisors (see below), whose sum is σ = 55519030440. Its totient is φ = 9280327680.

The previous prime is 23212232261. The next prime is 23212232363. The reversal of 23212232320 is 2323221232.

It can be written as a sum of positive squares in 4 ways, for example, as 14244899904 + 8967332416 = 119352^2 + 94696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 23212232291 and 23212232300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490494 + ... + 1505986.

Almost surely, 223212232320 is an apocalyptic number.

23212232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212232320 is an abundant number, since it is smaller than the sum of its proper divisors (32306798120).

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

23212232320 is a wasteful number, since it uses less digits than its factorization.

23212232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17853 (or 17841 counting only the distinct ones).

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

Adding to 23212232320 its reverse (2323221232), we get a palindrome (25535453552).

The spelling of 23212232320 in words is "twenty-three billion, two hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2341 4682 9364 11705 15493 18728 23410 30986 37456 46820 61972 74912 77465 93640 123944 149824 154930 187280 247888 299648 309860 374560 495776 619720 749120 991552 1239440 1498240 1983104 2478880 4957760 9915520 36269113 72538226 145076452 181345565 290152904 362691130 580305808 725382260 1160611616 1450764520 2321223232 2901529040 4642446464 5803058080 11606116160 23212232320