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2042235320 = 235237928099
BaseRepresentation
bin111100110111010…
…0000100110111000
312021022211022012012
41321232200212320
513140303012240
6534352105052
7101415466556
oct17156404670
95238738165
102042235320
11958874694
1248bb35188
13267144488
14155330bd6
15be456b65
hex79ba09b8

2042235320 has 64 divisors (see below), whose sum is σ = 4855680000. Its totient is φ = 771458688.

The previous prime is 2042235319. The next prime is 2042235323. The reversal of 2042235320 is 235322402.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042235323) 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, 58631 + ... + 86729.

It is an arithmetic number, because the mean of its divisors is an integer number (75870000).

Almost surely, 22042235320 is an apocalyptic number.

2042235320 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 2042235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427840000).

2042235320 is an abundant number, since it is smaller than the sum of its proper divisors (2813444680).

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

2042235320 is a wasteful number, since it uses less digits than its factorization.

2042235320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28212 (or 28208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2042235320 is about 45191.0977959155. The cubic root of 2042235320 is about 1268.7282037557.

Adding to 2042235320 its reverse (235322402), we get a palindrome (2277557722).

The spelling of 2042235320 in words is "two billion, forty-two million, two hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 632 790 920 1580 1817 3160 3634 7268 9085 14536 18170 28099 36340 56198 72680 112396 140495 224792 280990 561980 646277 1123960 1292554 2219821 2585108 3231385 4439642 5170216 6462770 8879284 11099105 12925540 17758568 22198210 25851080 44396420 51055883 88792840 102111766 204223532 255279415 408447064 510558830 1021117660 2042235320