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22224262230 = 23252913676229
BaseRepresentation
bin10100101100101010…
…110101010001010110
32010100211212111102100
4110230222311101112
5331003402342410
614113143022530
71414511053302
oct245452652126
963324774370
1022224262230
119475020175
124382a3aa46
132132452731
14110b87ad02
158a117b8c0
hex52cab5456

22224262230 has 96 divisors (see below), whose sum is σ = 59828932800. Its totient is φ = 5717005056.

The previous prime is 22224262223. The next prime is 22224262237. The reversal of 22224262230 is 3226242222.

22224262230 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 4 + 2 + 622 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (22224262223) and next prime (22224262237).

It is a junction number, because it is equal to n+sod(n) for n = 22224262194 and 22224262203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224262237) 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 47 ways as a sum of consecutive naturals, for example, 3564756 + ... + 3570984.

It is an arithmetic number, because the mean of its divisors is an integer number (623218050).

Almost surely, 222224262230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224262230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914466400).

22224262230 is an abundant number, since it is smaller than the sum of its proper divisors (37604670570).

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

22224262230 is a wasteful number, since it uses less digits than its factorization.

22224262230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 22224262230 in words is "twenty-two billion, two hundred twenty-four million, two hundred sixty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1367 2610 2734 4101 6229 6835 8202 12303 12458 13670 18687 20505 24606 31145 37374 39643 41010 56061 61515 62290 79286 93435 112122 118929 123030 180641 186870 198215 237858 280305 356787 361282 396430 541923 560610 594645 713574 903205 1083846 1189290 1625769 1783935 1806410 2709615 3251538 3567870 5419230 8128845 8515043 16257690 17030086 25545129 42575215 51090258 76635387 85150430 127725645 153270774 246936247 255451290 383176935 493872494 740808741 766353870 1234681235 1481617482 2222426223 2469362470 3704043705 4444852446 7408087410 11112131115 22224262230