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202022000220 = 223537428321247
BaseRepresentation
bin1011110000100101110…
…0110001011001011100
3201022110021000221100110
42330021130301121130
511302220113001340
6232450240330020
720411202445245
oct2741134613134
9638407027313
10202022000220
117874a174967
12331a0913910
13160871ca201
149ac6865ccc
1553c5c30680
hex2f0973165c

202022000220 has 96 divisors (see below), whose sum is σ = 581112741888. Its totient is φ = 52401814272.

The previous prime is 202022000161. The next prime is 202022000231. The reversal of 202022000220 is 22000220202.

202022000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202022000196 and 202022000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9497637 + ... + 9518883.

It is an arithmetic number, because the mean of its divisors is an integer number (6053257728).

Almost surely, 2202022000220 is an apocalyptic number.

202022000220 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 202022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290556370944).

202022000220 is an abundant number, since it is smaller than the sum of its proper divisors (379090741668).

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

202022000220 is a wasteful number, since it uses less digits than its factorization.

202022000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25579 (or 25577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202022000220 its reverse (22000220202), we get a palindrome (224022220422).

The spelling of 202022000220 in words is "two hundred two billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4283 8566 12849 17132 21247 21415 25698 42494 42830 51396 63741 64245 84988 85660 106235 127482 128490 158471 212470 254964 256980 316942 318705 424940 475413 633884 637410 786139 792355 950826 1274820 1572278 1584710 1901652 2358417 2377065 3144556 3169420 3930695 4716834 4754130 7861390 9433668 9508260 11792085 15722780 23584170 47168340 91000901 182001802 273002703 364003604 455004505 546005406 910009010 1092010812 1365013515 1820018020 2730027030 3367033337 5460054060 6734066674 10101100011 13468133348 16835166685 20202200022 33670333370 40404400044 50505500055 67340666740 101011000110 202022000220