Search a number
-
+
2422432100 = 2252112200201
BaseRepresentation
bin1001000001100011…
…0110000101100100
320020211020022010102
42100120312011210
514430120311400
61040213043232
7114013222154
oct22030660544
96224208112
102422432100
111033444100
12577326518
132c7b4109a
1418da1c764
15e2a079d5
hex90636164

2422432100 has 54 divisors (see below), whose sum is σ = 5778029922. Its totient is φ = 880880000.

The previous prime is 2422432099. The next prime is 2422432109. The reversal of 2422432100 is 12342242.

It can be written as a sum of positive squares in 3 ways, for example, as 2579236 + 2419852864 = 1606^2 + 49192^2 .

It is a super-2 number, since 2×24224321002 = 11736354558220820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2422432109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88001 + ... + 112200.

Almost surely, 22422432100 is an apocalyptic number.

2422432100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422432100 is an abundant number, since it is smaller than the sum of its proper divisors (3355597822).

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

2422432100 is a wasteful number, since it uses less digits than its factorization.

2422432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200237 (or 200219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2422432100 is about 49218.2090287731. The cubic root of 2422432100 is about 1343.0243008517.

Adding to 2422432100 its reverse (12342242), we get a palindrome (2434774342).

It can be divided in two parts, 242 and 2432100, that added together give a palindrome (2432342).

The spelling of 2422432100 in words is "two billion, four hundred twenty-two million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 200201 400402 800804 1001005 2002010 2202211 4004020 4404422 5005025 8808844 10010050 11011055 20020100 22022110 24224321 44044220 48448642 55055275 96897284 110110550 121121605 220221100 242243210 484486420 605608025 1211216050 2422432100