Search a number
-
+
221222864739240 = 2332571321812869883
BaseRepresentation
bin110010010011001101110110…
…010001001101101110101000
31002000021200212210211202220200
4302103031312101031232220
5212444003411333123430
62102300214150552200
764411552550201010
oct6223156621155650
91060250783752820
10221222864739240
11645410a9971491
122098a581968660
1396592c3bab600
143c8b35ad28c40
151a897ab103460
hexc9337644dba8

221222864739240 has 576 divisors, whose sum is σ = 894669576877440. Its totient is φ = 46417701058560.

The previous prime is 221222864739223. The next prime is 221222864739257. The reversal of 221222864739240 is 42937468222122.

221222864739240 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 2 + 86 + 473 + 92 + 4 + 0 = 666.

221222864739240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221222864739223) and next prime (221222864739257).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75649339 + ... + 78519221.

It is an arithmetic number, because the mean of its divisors is an integer number (1553245793190).

Almost surely, 2221222864739240 is an apocalyptic number.

221222864739240 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 221222864739240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447334788438720).

221222864739240 is an abundant number, since it is smaller than the sum of its proper divisors (673446712138200).

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

221222864739240 is a wasteful number, since it uses less digits than its factorization.

221222864739240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870114 (or 2870094 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 221222864739240 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, eight hundred sixty-four million, seven hundred thirty-nine thousand, two hundred forty".