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222520025420 = 2257111710697951
BaseRepresentation
bin1100111100111100111…
…0100010000101001100
3210021100210200111201222
43033033032202011030
512121210111303140
6250120240222512
722035153002540
oct3171716420514
9707323614658
10222520025420
1186408831660
123716160aa38
1317ca2b180c4
14aaacd4ba20
155bc55745b5
hex33cf3a214c

222520025420 has 192 divisors, whose sum is σ = 617523056640. Its totient is φ = 65207808000.

The previous prime is 222520025419. The next prime is 222520025477. The reversal of 222520025420 is 24520025222.

222520025420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 222520025420.

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 63 ways as a sum of consecutive naturals, for example, 27982445 + ... + 27990395.

It is an arithmetic number, because the mean of its divisors is an integer number (3216265920).

Almost surely, 2222520025420 is an apocalyptic number.

222520025420 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 222520025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308761528320).

222520025420 is an abundant number, since it is smaller than the sum of its proper divisors (395003031220).

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

222520025420 is a wasteful number, since it uses less digits than its factorization.

222520025420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The spelling of 222520025420 in words is "two hundred twenty-two billion, five hundred twenty million, twenty-five thousand, four hundred twenty".