Search a number
-
+
22443366420 = 22325235421103
BaseRepresentation
bin10100111001101110…
…101001100000010100
32010221010011010212100
4110321232221200110
5331431000211140
614151011122100
71423111316106
oct247156514024
963833133770
1022443366420
119577771412
1244242a3330
132168968497
14112c9d3576
158b550b530
hex539ba9814

22443366420 has 72 divisors (see below), whose sum is σ = 71038146816. Its totient is φ = 5724683712.

The previous prime is 22443366389. The next prime is 22443366433. The reversal of 22443366420 is 2466334422.

22443366420 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 3 + 3 + 6 + 642 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706412 + ... + 2714691.

It is an arithmetic number, because the mean of its divisors is an integer number (986640928).

Almost surely, 222443366420 is an apocalyptic number.

22443366420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22443366420 is an abundant number, since it is smaller than the sum of its proper divisors (48594780396).

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

22443366420 is a wasteful number, since it uses less digits than its factorization.

22443366420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421141 (or 5421136 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 22443366420 in words is "twenty-two billion, four hundred forty-three million, three hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5421103 10842206 16263309 21684412 27105515 32526618 48789927 54211030 65053236 81316545 97579854 108422060 124685369 162633090 195159708 243949635 249370738 325266180 374056107 487899270 498741476 623426845 748112214 975798540 1122168321 1246853690 1496224428 1870280535 2244336642 2493707380 3740561070 4488673284 5610841605 7481122140 11221683210 22443366420