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2293142780 = 2252314933457
BaseRepresentation
bin1000100010101110…
…1001010011111100
312220210221201112002
42020223221103330
514144021032110
61015314001432
7110553251315
oct21053512374
95823851462
102293142780
11a77468125
1253bb76278
132a7113c26
1417a7a560c
15d64b9aa5
hex88ae94fc

2293142780 has 48 divisors (see below), whose sum is σ = 5058849600. Its totient is φ = 871461888.

The previous prime is 2293142779. The next prime is 2293142783. The reversal of 2293142780 is 872413922.

2293142780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22931427802 = 10517007618932256800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293142783) 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, 51812 + ... + 85268.

It is an arithmetic number, because the mean of its divisors is an integer number (105392700).

Almost surely, 22293142780 is an apocalyptic number.

2293142780 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 2293142780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529424800).

2293142780 is an abundant number, since it is smaller than the sum of its proper divisors (2765706820).

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

2293142780 is a wasteful number, since it uses less digits than its factorization.

2293142780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33638 (or 33636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2293142780 is about 47886.7704068671. The cubic root of 2293142780 is about 1318.6929938596.

It can be divided in two parts, 2293142 and 780, that added together give a palindrome (2293922).

The spelling of 2293142780 in words is "two billion, two hundred ninety-three million, one hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 149 230 298 460 596 745 1490 2980 3427 6854 13708 17135 33457 34270 66914 68540 133828 167285 334570 669140 769511 1539022 3078044 3847555 4985093 7695110 9970186 15390220 19940372 24925465 49850930 99701860 114657139 229314278 458628556 573285695 1146571390 2293142780