Search a number
-
+
202483320 = 233513315379
BaseRepresentation
bin11000001000110…
…10011001111000
3112010000012220020
430010122121320
5403313431240
632031530440
75006036244
oct1404323170
9463005806
10202483320
11a4329796
1257989a20
1332c46720
141cc6b424
1512b9a0d0
hexc11a678

202483320 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 46725120.

The previous prime is 202483301. The next prime is 202483321. The reversal of 202483320 is 23384202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202483321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563041 + ... + 2563119.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2202483320 is an apocalyptic number.

202483320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202483320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

202483320 is an abundant number, since it is smaller than the sum of its proper divisors (494246280).

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

202483320 is a wasteful number, since it uses less digits than its factorization.

202483320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 202483320 is about 14229.6633832287. The cubic root of 202483320 is about 587.2140222777.

The spelling of 202483320 in words is "two hundred two million, four hundred eighty-three thousand, three hundred twenty".