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222421233510120 = 233571131919999901
BaseRepresentation
bin110010100100101001111010…
…100111010010011011101000
31002011112021002012002212012210
4302210221322213102123220
5213123122141234310440
62105014523140405120
764564255340526021
oct6244517247223350
91064467065085183
10222421233510120
1164963351896a37
1220b428850a67a0
139715303547c88
143ccd36094dc48
151aaaa479c1a80
hexca4a7a9d26e8

222421233510120 has 256 divisors, whose sum is σ = 677581977600000. Its totient is φ = 58397480064000.

The previous prime is 222421233510107. The next prime is 222421233510139. The reversal of 222421233510120 is 21015332124222.

It is a happy number.

222421233510120 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 2×2224212335101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22464517170 + ... + 22464527070.

It is an arithmetic number, because the mean of its divisors is an integer number (2646804600000).

Almost surely, 2222421233510120 is an apocalyptic number.

222421233510120 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 222421233510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338790988800000).

222421233510120 is an abundant number, since it is smaller than the sum of its proper divisors (455160744089880).

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

222421233510120 is a wasteful number, since it uses less digits than its factorization.

222421233510120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13304 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 222421233510120 its reverse (21015332124222), we get a palindrome (243436565634342).

The spelling of 222421233510120 in words is "two hundred twenty-two trillion, four hundred twenty-one billion, two hundred thirty-three million, five hundred ten thousand, one hundred twenty".