Search a number
-
+
22872618960 = 2435142366973
BaseRepresentation
bin10101010011010100…
…000111011111010000
32012001000212102122120
4111103110013133100
5333320342301320
614301343334240
71436543024202
oct252324073720
965030772576
1022872618960
119777aa7184
124523bb1380
13220687c779
14116da10772
158dd04c440
hex5535077d0

22872618960 has 80 divisors (see below), whose sum is σ = 70956006144. Its totient is φ = 6094987776.

The previous prime is 22872618959. The next prime is 22872618961. The reversal of 22872618960 is 6981627822.

It is an interprime number because it is at equal distance from previous prime (22872618959) and next prime (22872618961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22872618961) 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 15 ways as a sum of consecutive naturals, for example, 308034 + ... + 375006.

Almost surely, 222872618960 is an apocalyptic number.

22872618960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22872618960 is an abundant number, since it is smaller than the sum of its proper divisors (48083387184).

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

22872618960 is a wasteful number, since it uses less digits than its factorization.

22872618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68412 (or 68406 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 22872618960 in words is "twenty-two billion, eight hundred seventy-two million, six hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 42690 56920 66973 68304 85380 113840 133946 170760 200919 267892 334865 341520 401838 535784 669730 803676 1004595 1071568 1339460 1607352 2009190 2678920 3214704 4018380 5357840 8036760 16073520 95302579 190605158 285907737 381210316 476512895 571815474 762420632 953025790 1143630948 1429538685 1524841264 1906051580 2287261896 2859077370 3812103160 4574523792 5718154740 7624206320 11436309480 22872618960