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2220094524672 = 28332578871409
BaseRepresentation
bin100000010011100111111…
…100100000110100000000
321212020110012112011012000
4200103213330200310000
5242333223144242142
64415521454304000
7316253004045063
oct40234774406400
97766405464160
102220094524672
1178659a532872
122ba3291b8000
1313147aa0571b
147964b6208da
153cb3a64014c
hex204e7f20d00

2220094524672 has 288 divisors, whose sum is σ = 6602868921600. Its totient is φ = 735798362112.

The previous prime is 2220094524647. The next prime is 2220094524701. The reversal of 2220094524672 is 2764254900222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575651904 + ... + 1575653312.

It is an arithmetic number, because the mean of its divisors is an integer number (22926628200).

Almost surely, 22220094524672 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 2220094524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301434460800).

2220094524672 is an abundant number, since it is smaller than the sum of its proper divisors (4382774396928).

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

2220094524672 is a wasteful number, since it uses less digits than its factorization.

2220094524672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2220094524672 in words is "two trillion, two hundred twenty billion, ninety-four million, five hundred twenty-four thousand, six hundred seventy-two".