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222401396736 = 219345237
BaseRepresentation
bin1100111100100000101…
…0000000000000000000
3210021001112110112210000
43033020022000000000
512120434224143421
6250100401440000
722032212452401
oct3171012000000
9707045415700
10222401396736
1186357877122
1237129940000
1317c8438140c
14aa9b2ab9a8
155bb9e40226
hex33c8280000

222401396736 has 200 divisors, whose sum is σ = 664584737850. Its totient is φ = 74119643136.

The previous prime is 222401396731. The next prime is 222401396809. The reversal of 222401396736 is 637693104222.

222401396736 is a `hidden beast` number, since 2 + 224 + 0 + 1 + 396 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153413222400 + 68988174336 = 391680^2 + 262656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222401396691 and 222401396700.

It is not an unprimeable number, because it can be changed into a prime (222401396731) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42464710 + ... + 42469946.

Almost surely, 2222401396736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222401396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332292368925).

222401396736 is an abundant number, since it is smaller than the sum of its proper divisors (442183341114).

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

222401396736 is an frugal number, since it uses more digits than its factorization.

222401396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 222401396736 in words is "two hundred twenty-two billion, four hundred one million, three hundred ninety-six thousand, seven hundred thirty-six".