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22930371468 = 22324719017129
BaseRepresentation
bin10101010110110000…
…011011001110001100
32012012001112120012100
4111112300123032030
5333430133341333
614311205235100
71441143640644
oct252660331614
965161476170
1022930371468
1197a7662524
12453b402a90
132215820754
141177565524
158e3159213
hex556c1b38c

22930371468 has 72 divisors (see below), whose sum is σ = 59235583680. Its totient is φ = 7475846400.

The previous prime is 22930371467. The next prime is 22930371533. The reversal of 22930371468 is 86417303922.

It is not an unprimeable number, because it can be changed into a prime (22930371467) 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 23 ways as a sum of consecutive naturals, for example, 3212928 + ... + 3220056.

It is an arithmetic number, because the mean of its divisors is an integer number (822716440).

Almost surely, 222930371468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22930371468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29617791840).

22930371468 is an abundant number, since it is smaller than the sum of its proper divisors (36305212212).

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

22930371468 is a wasteful number, since it uses less digits than its factorization.

22930371468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22930371468 in words is "twenty-two billion, nine hundred thirty million, three hundred seventy-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 1901 3802 5703 7129 7604 11406 14258 17109 21387 22812 28516 34218 42774 64161 68436 85548 89347 128322 178694 256644 268041 335063 357388 536082 670126 804123 1005189 1072164 1340252 1608246 2010378 3015567 3216492 4020756 6031134 12062268 13552229 27104458 40656687 54208916 81313374 121970061 162626748 243940122 487880244 636954763 1273909526 1910864289 2547819052 3821728578 5732592867 7643457156 11465185734 22930371468