Search a number
-
+
22464013290 = 23523314492339
BaseRepresentation
bin10100111010111101…
…011010001111101010
32010222120000010001020
4110322331122033222
5332001241411130
614153025433310
71423451651055
oct247275321752
963876003036
1022464013290
119588393744
12442b19b836
132170017174
141131649a9c
158b7238e10
hex53af5a3ea

22464013290 has 128 divisors (see below), whose sum is σ = 58226688000. Its totient is φ = 5530398720.

The previous prime is 22464013289. The next prime is 22464013301. The reversal of 22464013290 is 9231046422.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9602941 + ... + 9605279.

It is an arithmetic number, because the mean of its divisors is an integer number (454896000).

Almost surely, 222464013290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22464013290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113344000).

22464013290 is an abundant number, since it is smaller than the sum of its proper divisors (35762674710).

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

22464013290 is a wasteful number, since it uses less digits than its factorization.

22464013290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 22464013290 in words is "twenty-two billion, four hundred sixty-four million, thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 449 465 690 713 898 930 1347 1426 2139 2245 2339 2694 3565 4278 4490 4678 6735 7017 7130 10327 10695 11695 13470 13919 14034 20654 21390 23390 27838 30981 35085 41757 51635 53797 61962 69595 70170 72509 83514 103270 107594 139190 145018 154905 161391 208785 217527 268985 309810 320137 322782 362545 417570 435054 537970 640274 725090 806955 960411 1050211 1087635 1600685 1613910 1667707 1920822 2100422 2175270 3150633 3201370 3335414 4802055 5003121 5251055 6301266 8338535 9604110 10006242 10502110 15753165 16677070 24154853 25015605 31506330 32556541 48309706 50031210 65113082 72464559 97669623 120774265 144929118 162782705 195339246 241548530 325565410 362322795 488348115 724645590 748800443 976696230 1497600886 2246401329 3744002215 4492802658 7488004430 11232006645 22464013290