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22132242330 = 23511294353783
BaseRepresentation
bin10100100111001011…
…110011011110011010
32010010102201101211220
4110213023303132122
5330311323223310
614100054432510
71412312645562
oct244713633632
963112641756
1022132242330
11942808a270
124358062736
1321193742a3
1410dd565da2
15898051670
hex5272f379a

22132242330 has 128 divisors (see below), whose sum is σ = 61339576320. Its totient is φ = 5059810560.

The previous prime is 22132242323. The next prime is 22132242337. The reversal of 22132242330 is 3324223122.

It is an interprime number because it is at equal distance from previous prime (22132242323) and next prime (22132242337).

It is a self number, because there is not a number n which added to its sum of digits gives 22132242330.

It is not an unprimeable number, because it can be changed into a prime (22132242337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384619 + ... + 438401.

It is an arithmetic number, because the mean of its divisors is an integer number (479215440).

Almost surely, 222132242330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30669788160).

22132242330 is an abundant number, since it is smaller than the sum of its proper divisors (39207333990).

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

22132242330 is a wasteful number, since it uses less digits than its factorization.

22132242330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53876.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22132242330 its reverse (3324223122), we get a palindrome (25456465452).

It can be divided in two parts, 22132 and 242330, that added together give a palindrome (264462).

The spelling of 22132242330 in words is "twenty-two billion, one hundred thirty-two million, two hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 43 55 58 66 86 87 110 129 145 165 174 215 258 290 319 330 430 435 473 638 645 870 946 957 1247 1290 1419 1595 1914 2365 2494 2838 3190 3741 4730 4785 6235 7095 7482 9570 12470 13717 14190 18705 27434 37410 41151 53783 68585 82302 107566 137170 161349 205755 268915 322698 411510 537830 591613 806745 1183226 1559707 1613490 1774839 2312669 2958065 3119414 3549678 4625338 4679121 5916130 6938007 7798535 8874195 9358242 11563345 13876014 15597070 17156777 17748390 23126690 23395605 25439359 34313554 34690035 46791210 50878718 51470331 67067401 69380070 76318077 85783885 102940662 127196795 134134802 152636154 171567770 201202203 254393590 257351655 335337005 381590385 402404406 514703310 670674010 737741411 763180770 1006011015 1475482822 2012022030 2213224233 3688707055 4426448466 7377414110 11066121165 22132242330