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2042202024 = 23339454639
BaseRepresentation
bin111100110111001…
…1000011110101000
312021022202121112000
41321232120132220
513140300431044
6534351251000
7101415300522
oct17156303650
95238677460
102042202024
11958851675
1248bb19a60
13267132285
14155322a12
15be44bd69
hex79b987a8

2042202024 has 32 divisors (see below), whose sum is σ = 5672784000. Its totient is φ = 680733936.

The previous prime is 2042202017. The next prime is 2042202047. The reversal of 2042202024 is 4202022402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042201988 and 2042202006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4727104 + ... + 4727535.

It is an arithmetic number, because the mean of its divisors is an integer number (177274500).

Almost surely, 22042202024 is an apocalyptic number.

2042202024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042202024 is an abundant number, since it is smaller than the sum of its proper divisors (3630581976).

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

2042202024 is a wasteful number, since it uses less digits than its factorization.

2042202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454654 (or 9454644 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2042202024 is about 45190.7294032747. The cubic root of 2042202024 is about 1268.7213087286.

Adding to 2042202024 its reverse (4202022402), we get a palindrome (6244224426).

The spelling of 2042202024 in words is "two billion, forty-two million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9454639 18909278 28363917 37818556 56727834 75637112 85091751 113455668 170183502 226911336 255275253 340367004 510550506 680734008 1021101012 2042202024