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2263419380 = 2254311323291
BaseRepresentation
bin1000011011101001…
…0000100111110100
312211202000121200102
42012322100213310
514113413410010
61012332533232
7110042514215
oct20672204764
95752017612
102263419380
11a61706532
12532021218
132a0c07b11
1417686940c
15d3a97ba5
hex86e909f4

2263419380 has 48 divisors (see below), whose sum is σ = 4906972224. Its totient is φ = 876449280.

The previous prime is 2263419359. The next prime is 2263419383. The reversal of 2263419380 is 839143622.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263419383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85535 + ... + 108825.

It is an arithmetic number, because the mean of its divisors is an integer number (102228588).

Almost surely, 22263419380 is an apocalyptic number.

2263419380 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 2263419380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453486112).

2263419380 is an abundant number, since it is smaller than the sum of its proper divisors (2643552844).

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

2263419380 is a wasteful number, since it uses less digits than its factorization.

2263419380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23456 (or 23454 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2263419380 is about 47575.4073025129. The cubic root of 2263419380 is about 1312.9706258448.

The spelling of 2263419380 in words is "two billion, two hundred sixty-three million, four hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 113 172 215 226 430 452 565 860 1130 2260 4859 9718 19436 23291 24295 46582 48590 93164 97180 116455 232910 465820 1001513 2003026 2631883 4006052 5007565 5263766 10015130 10527532 13159415 20030260 26318830 52637660 113170969 226341938 452683876 565854845 1131709690 2263419380