Search a number
-
+
213520200 = 23352355867
BaseRepresentation
bin11001011101000…
…00111101001000
3112212202221122120
430232200331020
5414130121300
633104251240
75201614605
oct1456407510
9485687576
10213520200
11aa587983
125b610b20
133530c21a
14205016ac
1513b2a3a0
hexcba0f48

213520200 has 48 divisors (see below), whose sum is σ = 661914480. Its totient is φ = 56938560.

The previous prime is 213520193. The next prime is 213520207. The reversal of 213520200 is 2025312.

It is an interprime number because it is at equal distance from previous prime (213520193) and next prime (213520207).

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 213520200.

It is not an unprimeable number, because it can be changed into a prime (213520207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177334 + ... + 178533.

It is an arithmetic number, because the mean of its divisors is an integer number (13789885).

Almost surely, 2213520200 is an apocalyptic number.

213520200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213520200 is an abundant number, since it is smaller than the sum of its proper divisors (448394280).

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

213520200 is a wasteful number, since it uses less digits than its factorization.

213520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355886 (or 355877 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213520200 is about 14612.3304096232. The cubic root of 213520200 is about 597.6950455358.

Adding to 213520200 its reverse (2025312), we get a palindrome (215545512).

The spelling of 213520200 in words is "two hundred thirteen million, five hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 355867 711734 1067601 1423468 1779335 2135202 2846936 3558670 4270404 5338005 7117340 8540808 8896675 10676010 14234680 17793350 21352020 26690025 35586700 42704040 53380050 71173400 106760100 213520200