Search a number
-
+
23220469584 = 243613153137
BaseRepresentation
bin10101101000000011…
…000011111101010000
32012221021102002000000
4111220003003331100
5340023420011314
614400051130000
71451265510024
oct255003037520
965837362000
1023220469584
119936393534
1246005a3900
132260962540
1411a3cbc384
1590d85e209
hex5680c3f50

23220469584 has 140 divisors (see below), whose sum is σ = 72642847956. Its totient is φ = 7144713216.

The previous prime is 23220469543. The next prime is 23220469619. The reversal of 23220469584 is 48596402232.

23220469584 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 4 + 69 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15185139984 + 8035329600 = 123228^2 + 89640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75064 + ... + 228200.

Almost surely, 223220469584 is an apocalyptic number.

23220469584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220469584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36321423978).

23220469584 is an abundant number, since it is smaller than the sum of its proper divisors (49422378372).

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

23220469584 is a wasteful number, since it uses less digits than its factorization.

23220469584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153176 (or 153155 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 23220 and 469584, that added together give a square (492804 = 7022).

The spelling of 23220469584 in words is "twenty-three billion, two hundred twenty million, four hundred sixty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 16848 18954 25272 37908 50544 75816 151632 153137 306274 459411 612548 918822 1225096 1378233 1837644 1990781 2450192 2756466 3675288 3981562 4134699 5512932 5972343 7350576 7963124 8269398 11025864 11944686 12404097 15926248 16538796 17917029 22051728 23889372 24808194 31852496 33077592 35834058 37212291 47778744 49616388 53751087 66155184 71668116 74424582 95557488 99232776 107502174 111636873 143336232 148849164 161253261 198465552 215004348 223273746 286672464 297698328 322506522 430008696 446547492 483759783 595396656 645013044 860017392 893094984 967519566 1290026088 1451279349 1786189968 1935039132 2580052176 2902558698 3870078264 5805117396 7740156528 11610234792 23220469584