Search a number
-
+
22123763420 = 22511217475233
BaseRepresentation
bin10100100110101011…
…011101011011011100
32010002211202121222012
4110212223131123130
5330302140412140
614055153010352
71412150612663
oct244653353334
963084677865
1022123763420
119423318a00
1243552539b8
132117695b95
1410dc399dda
15897429265
hex526add6dc

22123763420 has 72 divisors (see below), whose sum is σ = 51106492752. Its totient is φ = 8038863360.

The previous prime is 22123763407. The next prime is 22123763443. The reversal of 22123763420 is 2436732122.

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, 4225124 + ... + 4230356.

Almost surely, 222123763420 is an apocalyptic number.

22123763420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123763420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25553246376).

22123763420 is an abundant number, since it is smaller than the sum of its proper divisors (28982729332).

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

22123763420 is a wasteful number, since it uses less digits than its factorization.

22123763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 22123763420 in words is "twenty-two billion, one hundred twenty-three million, seven hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1747 2420 3494 5233 6988 8735 10466 17470 19217 20932 26165 34940 38434 52330 57563 76868 96085 104660 115126 192170 211387 230252 287815 384340 422774 575630 633193 845548 1056935 1151260 1266386 2113870 2532772 3165965 4227740 6331930 9142051 12663860 18284102 36568204 45710255 91420510 100562561 182841020 201125122 402250244 502812805 1005625610 1106188171 2011251220 2212376342 4424752684 5530940855 11061881710 22123763420