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222102202012020 = 22325111921260124659
BaseRepresentation
bin110010100000000000110010…
…110110101101000101110100
31002010101202121100001120001200
4302200000302312231011310
5213102410302203341040
62104212202032252500
764532232420532221
oct6240006266550564
91063352540046050
10222102202012020
1164850018930510
1220ab0a8a0a1130
1396c11bc8a0ab5
143cbbb37dd4948
151aa25c4605630
hexca0032dad174

222102202012020 has 432 divisors, whose sum is σ = 775767197499840. Its totient is φ = 51003001728000.

The previous prime is 222102202011997. The next prime is 222102202012037. The reversal of 222102202012020 is 20210202201222.

222102202012020 is a `hidden beast` number, since 2 + 221 + 0 + 220 + 20 + 1 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222102202011984 and 222102202012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9006930451 + ... + 9006955109.

It is an arithmetic number, because the mean of its divisors is an integer number (1795757401620).

Almost surely, 2222102202012020 is an apocalyptic number.

222102202012020 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 222102202012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387883598749920).

222102202012020 is an abundant number, since it is smaller than the sum of its proper divisors (553664995487820).

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

222102202012020 is a wasteful number, since it uses less digits than its factorization.

222102202012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37324 (or 37300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222102202012020 its reverse (20210202201222), we get a palindrome (242312404213242).

The spelling of 222102202012020 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred two million, twelve thousand, twenty".