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220120202222010 = 2325172355720875381
BaseRepresentation
bin110010000011001010111010…
…011101100001100110111010
31001212101021201100210010011200
4302003022322131201212322
5212322422133232101020
62100053454102235030
764236105545352366
oct6203127235414672
91055337640703150
10220120202222010
11641564a96a5932
122083092a425a76
1395a932761176c
143c4dc35dc82a6
151a6ac71a23590
hexc832ba7619ba

220120202222010 has 384 divisors, whose sum is σ = 633881374424064. Its totient is φ = 52713915555840.

The previous prime is 220120202221999. The next prime is 220120202222183. The reversal of 220120202222010 is 10222202021022.

220120202222010 is a `hidden beast` number, since 2 + 201 + 20 + 20 + 222 + 201 + 0 = 666.

220120202222010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201202022220102 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40906929520 + ... + 40906934900.

It is an arithmetic number, because the mean of its divisors is an integer number (1650732745896).

Almost surely, 2220120202222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120202222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316940687212032).

220120202222010 is an abundant number, since it is smaller than the sum of its proper divisors (413761172202054).

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

220120202222010 is a wasteful number, since it uses less digits than its factorization.

220120202222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8075 counting only the distinct ones).

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

Adding to 220120202222010 its reverse (10222202021022), we get a palindrome (230342404243032).

The spelling of 220120202222010 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred two million, two hundred twenty-two thousand, ten".