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2102294844 = 2233134159619
BaseRepresentation
bin111110101001110…
…0111100100111100
312102111211122101000
41331103213210330
513301141413334
6544335250300
7103045132326
oct17523474474
95374748330
102102294844
11989766261
124a8079990
13276712560
1415d2c6616
15c486c299
hex7d4e793c

2102294844 has 192 divisors, whose sum is σ = 6124608000. Its totient is φ = 619384320.

The previous prime is 2102294771. The next prime is 2102294849. The reversal of 2102294844 is 4484922012.

It is a super-2 number, since 2×21022948442 = 8839287222217968672, which contains 22 as substring.

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 = 2102294799 and 2102294808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102294849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3395967 + ... + 3396585.

It is an arithmetic number, because the mean of its divisors is an integer number (31899000).

Almost surely, 22102294844 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 2102294844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062304000).

2102294844 is an abundant number, since it is smaller than the sum of its proper divisors (4022313156).

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

2102294844 is a wasteful number, since it uses less digits than its factorization.

2102294844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2102294844 is about 45850.7889136054. The cubic root of 2102294844 is about 1281.0454601618.

The spelling of 2102294844 in words is "two billion, one hundred two million, two hundred ninety-four thousand, eight hundred forty-four".