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2042230784 = 21111269337
BaseRepresentation
bin111100110111001…
…1111100000000000
312021022211001222012
41321232133200000
513140302341114
6534352032052
7101415450416
oct17156374000
95238731865
102042230784
11958871240
1248bb32628
132671423a9
1415532d2b6
15be45563e
hex79b9f800

2042230784 has 96 divisors (see below), whose sum is σ = 4484516400. Its totient is φ = 922091520.

The previous prime is 2042230759. The next prime is 2042230823. The reversal of 2042230784 is 4870322402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2042230784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6059864 + ... + 6060200.

Almost surely, 22042230784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242258200).

2042230784 is an abundant number, since it is smaller than the sum of its proper divisors (2442285616).

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

2042230784 is a wasteful number, since it uses less digits than its factorization.

2042230784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2042230784 is about 45191.0476090121. The cubic root of 2042230784 is about 1268.7272644328.

The spelling of 2042230784 in words is "two billion, forty-two million, two hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 269 337 352 512 538 674 704 1024 1076 1348 1408 2048 2152 2696 2816 2959 3707 4304 5392 5632 5918 7414 8608 10784 11264 11836 14828 17216 21568 22528 23672 29656 34432 43136 47344 59312 68864 86272 90653 94688 118624 137728 172544 181306 189376 237248 275456 345088 362612 378752 474496 550912 690176 725224 757504 948992 997183 1450448 1515008 1897984 1994366 2900896 3030016 3795968 3988732 5801792 6060032 7591936 7977464 11603584 15954928 23207168 31909856 46414336 63819712 92828672 127639424 185657344 255278848 510557696 1021115392 2042230784