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22215785130 = 232572112173179
BaseRepresentation
bin10100101100001010…
…011111101010101010
32010100020220211000200
4110230022133222222
5330444220111010
614112241213030
71414346025600
oct245412375252
963306824020
1022215785130
119470260200
124380031176
1321307750b6
14110a6b1870
158a0554cc0
hex52c29faaa

22215785130 has 864 divisors, whose sum is σ = 81743800320. Its totient is φ = 4151347200.

The previous prime is 22215785117. The next prime is 22215785149. The reversal of 22215785130 is 3158751222.

22215785130 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 578 + 51 + 30 = 666.

It is a super-2 number, since 2×222157851302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 281212431 + ... + 281212509.

It is an arithmetic number, because the mean of its divisors is an integer number (94610880).

Almost surely, 222215785130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22215785130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40871900160).

22215785130 is an abundant number, since it is smaller than the sum of its proper divisors (59528015190).

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

22215785130 is a wasteful number, since it uses less digits than its factorization.

22215785130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 22215785130 in words is "twenty-two billion, two hundred fifteen million, seven hundred eighty-five thousand, one hundred thirty".