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202022144120 = 235103211232391
BaseRepresentation
bin1011110000100101110…
…1010100100001111000
3201022110021022020202002
42330021131110201320
511302220132102440
6232450243400132
720411203614626
oct2741135244170
9638407266662
10202022144120
117874a262a95
12331a0983048
131608724a864
149ac68a2516
1553c5c5d115
hex2f09754878

202022144120 has 64 divisors (see below), whose sum is σ = 461140093440. Its totient is φ = 79644700800.

The previous prime is 202022144119. The next prime is 202022144123. The reversal of 202022144120 is 21441220202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202022144092 and 202022144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022144123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753125 + ... + 985515.

It is an arithmetic number, because the mean of its divisors is an integer number (7205313960).

Almost surely, 2202022144120 is an apocalyptic number.

202022144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022144120 is an abundant number, since it is smaller than the sum of its proper divisors (259117949320).

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

202022144120 is a wasteful number, since it uses less digits than its factorization.

202022144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232716 (or 232712 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202022144120 its reverse (21441220202), we get a palindrome (223463364322).

The spelling of 202022144120 in words is "two hundred two billion, twenty-two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 211 412 422 515 824 844 1030 1055 1688 2060 2110 4120 4220 8440 21733 43466 86932 108665 173864 217330 232391 434660 464782 869320 929564 1161955 1859128 2323910 4647820 9295640 23936273 47872546 49034501 95745092 98069002 119681365 191490184 196138004 239362730 245172505 392276008 478725460 490345010 957450920 980690020 1961380040 5050553603 10101107206 20202214412 25252768015 40404428824 50505536030 101011072060 202022144120