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2042204004 = 223280970121
BaseRepresentation
bin111100110111001…
…1000111101100100
312021022202201020100
41321232120331210
513140301012004
6534351304100
7101415306351
oct17156307544
95238681210
102042204004
11958853105
1248bb1b030
13267133149
14155323628
15be44c739
hex79b98f64

2042204004 has 36 divisors (see below), whose sum is σ = 5168692620. Its totient is φ = 679883520.

The previous prime is 2042203997. The next prime is 2042204029. The reversal of 2042204004 is 4004022402.

It can be written as a sum of positive squares in 2 ways, for example, as 939299904 + 1102904100 = 30648^2 + 33210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5937 + ... + 64184.

It is an arithmetic number, because the mean of its divisors is an integer number (143574795).

Almost surely, 22042204004 is an apocalyptic number.

It is an amenable number.

2042204004 is an abundant number, since it is smaller than the sum of its proper divisors (3126488616).

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

2042204004 is a wasteful number, since it uses less digits than its factorization.

2042204004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70940 (or 70935 counting only the distinct ones).

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

The square root of 2042204004 is about 45190.7513104175. The cubic root of 2042204004 is about 1268.7217187545.

Adding to 2042204004 its reverse (4004022402), we get a palindrome (6046226406).

The spelling of 2042204004 in words is "two billion, forty-two million, two hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 2427 3236 4854 7281 9708 14562 29124 70121 140242 210363 280484 420726 631089 841452 1262178 2524356 56727889 113455778 170183667 226911556 340367334 510551001 680734668 1021102002 2042204004