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23252215550440 = 2351737924173909
BaseRepresentation
bin1010100100101110101000…
…00011000101000111101000
310001022220000212210021001211
411102113110003011013220
511021431014140103230
6121241530444122504
74616626402052332
oct522272403050750
9101286025707054
1023252215550440
117455233548888
122736527b36434
13cc889cbba1c6
145a55adcd0452
152a4c9bb8342a
hex1525d40c51e8

23252215550440 has 64 divisors (see below), whose sum is σ = 56892145899600. Its totient is φ = 8517186736128.

The previous prime is 23252215550353. The next prime is 23252215550449. The reversal of 23252215550440 is 4405551225232.

It can be written as a sum of positive squares in 8 ways, for example, as 20796682674244 + 2455532876196 = 4560338^2 + 1567014^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23252215550393 and 23252215550402.

It is not an unprimeable number, because it can be changed into a prime (23252215550449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462061795 + ... + 462112114.

Almost surely, 223252215550440 is an apocalyptic number.

23252215550440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23252215550440 is an abundant number, since it is smaller than the sum of its proper divisors (33639930349160).

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

23252215550440 is a wasteful number, since it uses less digits than its factorization.

23252215550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924173974 (or 924173970 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 23252215550440 its reverse (4405551225232), we get a palindrome (27657766775672).

The spelling of 23252215550440 in words is "twenty-three trillion, two hundred fifty-two billion, two hundred fifteen million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2516 3145 5032 6290 12580 25160 924173909 1848347818 3696695636 4620869545 7393391272 9241739090 15710956453 18483478180 31421912906 34194434633 36966956360 62843825812 68388869266 78554782265 125687651624 136777738532 157109564530 170972173165 273555477064 314219129060 341944346330 581305388761 628438258120 683888692660 1162610777522 1367777385320 2325221555044 2906526943805 4650443110088 5813053887610 11626107775220 23252215550440