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2248959369020 = 225721319311072801
BaseRepresentation
bin100000101110100000011…
…011001001111100111100
321221222221211211011202012
4200232200123021330330
5243321332044302040
64441054020150352
7321324211140200
oct40564033117474
97858854734665
102248959369020
11797861a2a631
12303a43b383b8
131340cab5b290
147abc8db8b00
153d77978b865
hex20ba06c9f3c

2248959369020 has 576 divisors, whose sum is σ = 6491185827840. Its totient is φ = 646216704000.

The previous prime is 2248959369011. The next prime is 2248959369029. The reversal of 2248959369020 is 209639598422.

It is an interprime number because it is at equal distance from previous prime (2248959369011) and next prime (2248959369029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248959369029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 802911620 + ... + 802914420.

It is an arithmetic number, because the mean of its divisors is an integer number (11269419840).

Almost surely, 22248959369020 is an apocalyptic number.

2248959369020 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 2248959369020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245592913920).

2248959369020 is an abundant number, since it is smaller than the sum of its proper divisors (4242226458820).

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

2248959369020 is a wasteful number, since it uses less digits than its factorization.

2248959369020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 59.

The spelling of 2248959369020 in words is "two trillion, two hundred forty-eight billion, nine hundred fifty-nine million, three hundred sixty-nine thousand, twenty".