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2269113000 = 2335371121947
BaseRepresentation
bin1000011100111111…
…1110101010101000
312212010201212212020
42013033332222220
514121343104000
61013054544440
7110142066540
oct20717765250
95763655766
102269113000
11a64945200
12533b08120
132a214c51b
1417750c320
15d431eba0
hex873feaa8

2269113000 has 768 divisors, whose sum is σ = 9560678400. Its totient is φ = 437184000.

The previous prime is 2269112999. The next prime is 2269113017. The reversal of 2269113000 is 3119622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48278977 + ... + 48279023.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 22269113000 is an apocalyptic number.

2269113000 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 2269113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780339200).

2269113000 is an abundant number, since it is smaller than the sum of its proper divisors (7291565400).

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

2269113000 is a wasteful number, since it uses less digits than its factorization.

2269113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2269113000 is about 47635.2075675125. The cubic root of 2269113000 is about 1314.0706276658.

The spelling of 2269113000 in words is "two billion, two hundred sixty-nine million, one hundred thirteen thousand".