Search a number
-
+
220151404 = 221119713709
BaseRepresentation
bin11010001111100…
…11111001101100
3120100020211221201
431013303321230
5422324321104
633502335244
75312153554
oct1507637154
9510224851
10220151404
111032a7010
126188a524
13367c1605
142134a164
15144da0a4
hexd1f3e6c

220151404 has 48 divisors (see below), whose sum is σ = 448761600. Its totient is φ = 93441600.

The previous prime is 220151401. The next prime is 220151413. The reversal of 220151404 is 404151022.

220151404 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 (19).

It is not an unprimeable number, because it can be changed into a prime (220151401) 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, 57502 + ... + 61210.

It is an arithmetic number, because the mean of its divisors is an integer number (9349200).

Almost surely, 2220151404 is an apocalyptic number.

It is an amenable number.

220151404 is an abundant number, since it is smaller than the sum of its proper divisors (228610196).

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

220151404 is a wasteful number, since it uses less digits than its factorization.

220151404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 220151404 is about 14837.4999241786. The cubic root of 220151404 is about 603.8195263619.

The spelling of 220151404 in words is "two hundred twenty million, one hundred fifty-one thousand, four hundred four".

Divisors: 1 2 4 11 19 22 38 44 71 76 142 209 284 418 781 836 1349 1562 2698 3124 3709 5396 7418 14836 14839 29678 40799 59356 70471 81598 140942 163196 263339 281884 526678 775181 1053356 1550362 2896729 3100724 5003441 5793458 10006882 11586916 20013764 55037851 110075702 220151404