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2042211420 = 223353781873
BaseRepresentation
bin111100110111001…
…1010110001011100
312021022210002102000
41321232122301130
513140301231140
6534351402300
7101415340104
oct17156326134
95238702360
102042211420
11958858737
1248bb23390
13267136632
14155326204
15be44ea30
hex79b9ac5c

2042211420 has 48 divisors (see below), whose sum is σ = 6353548320. Its totient is φ = 544589568.

The previous prime is 2042211403. The next prime is 2042211421. The reversal of 2042211420 is 241122402.

2042211420 is a `hidden beast` number, since 20 + 4 + 221 + 1 + 420 = 666.

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 = 2042211393 and 2042211402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042211421) 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, 1890397 + ... + 1891476.

It is an arithmetic number, because the mean of its divisors is an integer number (132365590).

Almost surely, 22042211420 is an apocalyptic number.

2042211420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042211420 is an abundant number, since it is smaller than the sum of its proper divisors (4311336900).

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

2042211420 is a wasteful number, since it uses less digits than its factorization.

2042211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781891 (or 3781883 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042211420 is about 45190.8333625305. The cubic root of 2042211420 is about 1268.7232544857.

Adding to 2042211420 its reverse (241122402), we get a palindrome (2283333822).

The spelling of 2042211420 in words is "two billion, forty-two million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3781873 7563746 11345619 15127492 18909365 22691238 34036857 37818730 45382476 56728095 68073714 75637460 102110571 113456190 136147428 170184285 204221142 226912380 340368570 408442284 510552855 680737140 1021105710 2042211420