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201696804 = 22362632
BaseRepresentation
bin11000000010110…
…10011000100100
3112001112021000000
430001122120210
5403113244204
632003021300
74666252221
oct1401323044
9461467000
10201696804
11a3941881
125766a830
1332a2c72a
141cb04948
1512a92039
hexc05a624

201696804 has 63 divisors (see below), whose sum is σ = 531231883. Its totient is φ = 66976632.

The previous prime is 201696793. The next prime is 201696829. The reversal of 201696804 is 408696102.

The square root of 201696804 is 14202.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 766777 + ... + 767039.

Almost surely, 2201696804 is an apocalyptic number.

201696804 is the 14202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201696804

201696804 is an abundant number, since it is smaller than the sum of its proper divisors (329535079).

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

201696804 is an frugal number, since it uses more digits than its factorization.

201696804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 201696804 is about 586.4527208570.

Multiplying 201696804 by its sum of digits (36), we get a square (7261084944 = 852122).

201696804 divided by its sum of digits (36) gives a square (5602689 = 23672).

Multiplying 201696804 by its product of nonzero digits (20736), we get a square (4182384927744 = 20450882).

It can be divided in two parts, 201696 and 804, that added together give a square (202500 = 4502).

The spelling of 201696804 in words is "two hundred one million, six hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 263 324 486 526 729 789 972 1052 1458 1578 2367 2916 3156 4734 7101 9468 14202 21303 28404 42606 63909 69169 85212 127818 138338 191727 207507 255636 276676 383454 415014 622521 766908 830028 1245042 1867563 2490084 3735126 5602689 7470252 11205378 16808067 22410756 33616134 50424201 67232268 100848402 201696804