Search a number
-
+
202213100 = 225212491619
BaseRepresentation
bin11000000110110…
…00011011101100
3112002111111020002
430003120123230
5403231304400
632022043432
75003532365
oct1403303354
9462444202
10202213100
11a4164771
1257879578
1332b8072b
141cbdab6c
1512b44ed5
hexc0d86ec

202213100 has 36 divisors (see below), whose sum is σ = 439425000. Its totient is φ = 80770560.

The previous prime is 202213097. The next prime is 202213117. The reversal of 202213100 is 1312202.

It is a happy number.

It is a super-2 number, since 2×2022131002 = 81780275623220000, which contains 22 as substring.

It is an unprimeable number.

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, 124091 + ... + 125709.

It is an arithmetic number, because the mean of its divisors is an integer number (12206250).

Almost surely, 2202213100 is an apocalyptic number.

202213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202213100 is an abundant number, since it is smaller than the sum of its proper divisors (237211900).

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

202213100 is a wasteful number, since it uses less digits than its factorization.

202213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 202213100 is about 14220.1652592366. The cubic root of 202213100 is about 586.9526878102.

Adding to 202213100 its reverse (1312202), we get a palindrome (203525302).

The spelling of 202213100 in words is "two hundred two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1249 1619 2498 3238 4996 6245 6476 8095 12490 16190 24980 31225 32380 40475 62450 80950 124900 161900 2022131 4044262 8088524 10110655 20221310 40442620 50553275 101106550 202213100