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2042213420 = 225137854667
BaseRepresentation
bin111100110111001…
…1011010000101100
312021022210012011002
41321232123100230
513140301312140
6534351415432
7101415345662
oct17156332054
95238705132
102042213420
1195885a195
1248bb24578
13267137510
14155326c32
15be450415
hex79b9b42c

2042213420 has 24 divisors (see below), whose sum is σ = 4618544784. Its totient is φ = 754047936.

The previous prime is 2042213413. The next prime is 2042213429. The reversal of 2042213420 is 243122402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2042213392 and 2042213401.

It is not an unprimeable number, because it can be changed into a prime (2042213429) by changing a digit.

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, 3927074 + ... + 3927593.

It is an arithmetic number, because the mean of its divisors is an integer number (192439366).

Almost surely, 22042213420 is an apocalyptic number.

2042213420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042213420 is an abundant number, since it is smaller than the sum of its proper divisors (2576331364).

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

2042213420 is a wasteful number, since it uses less digits than its factorization.

2042213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854689 (or 7854687 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2042213420 is about 45190.8554909066. The cubic root of 2042213420 is about 1268.7236686520.

Adding to 2042213420 its reverse (243122402), we get a palindrome (2285335822).

The spelling of 2042213420 in words is "two billion, forty-two million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7854667 15709334 31418668 39273335 78546670 102110671 157093340 204221342 408442684 510553355 1021106710 2042213420