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20220161220900 = 22325244415058961
BaseRepresentation
bin1001001100011110111111…
…00001101110000100100100
32122121000202210122022220100
410212033133201232010210
510122241342233032100
6111001002553104100
74154600305355364
oct446173741560444
978530683568810
1020220161220900
11649635a963973
1223269770b8030
13b389a3507c04
144dc937bd09a4
15250e8d2c0400
hex1263df86e124

20220161220900 has 108 divisors (see below), whose sum is σ = 63393255864484. Its totient is φ = 5390827776000.

The previous prime is 20220161220893. The next prime is 20220161220929. The reversal of 20220161220900 is 902216102202.

It is a happy number.

20220161220900 is a `hidden beast` number, since 2 + 0 + 2 + 20 + 1 + 612 + 20 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5666180379876 + 14553980841024 = 2380374^2 + 3814968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467420 + ... + 6526380.

Almost surely, 220220161220900 is an apocalyptic number.

20220161220900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220161220900 is an abundant number, since it is smaller than the sum of its proper divisors (43173094643584).

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

20220161220900 is a wasteful number, since it uses less digits than its factorization.

20220161220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063422 (or 5063412 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20220161220900 in words is "twenty trillion, two hundred twenty billion, one hundred sixty-one million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4441 8882 13323 17764 22205 26646 39969 44410 53292 66615 79938 88820 111025 133230 159876 199845 222050 266460 333075 399690 444100 666150 799380 999225 1332300 1998450 3996900 5058961 10117922 15176883 20235844 25294805 30353766 45530649 50589610 60707532 75884415 91061298 101179220 126474025 151768830 182122596 227653245 252948050 303537660 379422075 455306490 505896100 758844150 910612980 1138266225 1517688300 2276532450 4553064900 22466845801 44933691602 67400537403 89867383204 112334229005 134801074806 202201612209 224668458010 269602149612 337002687015 404403224418 449336916020 561671145025 674005374030 808806448836 1011008061045 1123342290050 1348010748060 1685013435075 2022016122090 2246684580100 3370026870150 4044032244180 5055040305225 6740053740300 10110080610450 20220161220900