Search a number
-
+
24221544240 = 2435175936653
BaseRepresentation
bin10110100011101101…
…110110111100110000
32022112001002221021010
4112203231312330300
5344101203403430
615043251430520
71515142505025
oct264355667460
968461087233
1024221544240
11a2aa480763
12483b8b5440
1323901878ca
14125ac2954c
1596b6a3cb0
hex5a3b76f30

24221544240 has 80 divisors (see below), whose sum is σ = 79503670368. Its totient is φ = 6079131648.

The previous prime is 24221544239. The next prime is 24221544251. The reversal of 24221544240 is 4244512242.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24221544198 and 24221544207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964247 + ... + 2972406.

Almost surely, 224221544240 is an apocalyptic number.

24221544240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24221544240 is an abundant number, since it is smaller than the sum of its proper divisors (55282126128).

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

24221544240 is a wasteful number, since it uses less digits than its factorization.

24221544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936686 (or 5936680 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 24221544240 in words is "twenty-four billion, two hundred twenty-one million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5936653 11873306 17809959 23746612 29683265 35619918 47493224 59366530 71239836 89049795 94986448 100923101 118733060 142479672 178099590 201846202 237466120 284959344 302769303 356199180 403692404 474932240 504615505 605538606 712398360 807384808 1009231010 1211077212 1424796720 1513846515 1614769616 2018462020 2422154424 3027693030 4036924040 4844308848 6055386060 8073848080 12110772120 24221544240