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200200920 = 23352957529
BaseRepresentation
bin10111110111011…
…01001011011000
3111221201021000220
423323231023120
5402222412140
631511000040
74650452103
oct1373551330
9457637026
10200200920
11a300aa07
1257069020
13326278aa
141c83573a
1512898bd0
hexbeed2d8

200200920 has 64 divisors (see below), whose sum is σ = 621324000. Its totient is φ = 51545088.

The previous prime is 200200879. The next prime is 200200921. The reversal of 200200920 is 29002002.

200200920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200200920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200921) 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 15 ways as a sum of consecutive naturals, for example, 25285 + ... + 32244.

Almost surely, 2200200920 is an apocalyptic number.

200200920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200920 is an abundant number, since it is smaller than the sum of its proper divisors (421123080).

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

200200920 is a wasteful number, since it uses less digits than its factorization.

200200920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57572 (or 57568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 200200920 is about 14149.2374352825. The cubic root of 200200920 is about 584.9993133165. Note that the first 3 decimals are identical.

Adding to 200200920 its reverse (29002002), we get a palindrome (229202922).

The spelling of 200200920 in words is "two hundred million, two hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 57529 115058 172587 230116 287645 345174 460232 575290 690348 862935 1150580 1380696 1668341 1725870 2301160 3336682 3451740 5005023 6673364 6903480 8341705 10010046 13346728 16683410 20020092 25025115 33366820 40040184 50050230 66733640 100100460 200200920