Search a number
-
+
222225602544 = 243311317121247
BaseRepresentation
bin1100111011110110101…
…1011001011111110000
3210020121021200021111000
43032331223121133300
512120104223240134
6250031121522000
722024646312031
oct3167553313760
9706537607430
10222225602544
1186277617370
123709aaa3300
1317c56b2099a
14aa81bcaa88
155ba97b7e99
hex33bdad97f0

222225602544 has 320 divisors, whose sum is σ = 728456232960. Its totient is φ = 64247904000.

The previous prime is 222225602477. The next prime is 222225602563. The reversal of 222225602544 is 445206522222.

222225602544 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 2 + 5 + 602 + 5 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222225602499 and 222225602508.

It is a congruent number.

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, 10448529 + ... + 10469775.

It is an arithmetic number, because the mean of its divisors is an integer number (2276425728).

Almost surely, 2222225602544 is an apocalyptic number.

222225602544 is a gapful number since it is divisible by the number (24) 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 222225602544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364228116480).

222225602544 is an abundant number, since it is smaller than the sum of its proper divisors (506230630416).

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

222225602544 is a wasteful number, since it uses less digits than its factorization.

222225602544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21377 (or 21365 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 222225602544 in words is "two hundred twenty-two billion, two hundred twenty-five million, six hundred two thousand, five hundred forty-four".