Search a number
-
+
422100 = 223252767
BaseRepresentation
bin1100111000011010100
3210110000100
41213003110
5102001400
613014100
73405420
oct1470324
9713010
10422100
11269148
12184330
1311a183
14adb80
1585100
hex670d4

422100 has 108 divisors (see below), whose sum is σ = 1534624. Its totient is φ = 95040.

The previous prime is 422099. The next prime is 422101. The reversal of 422100 is 1224.

It is an interprime number because it is at equal distance from previous prime (422099) and next prime (422101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6267 + ... + 6333.

2422100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767312).

422100 is an abundant number, since it is smaller than the sum of its proper divisors (1112524).

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

422100 is a wasteful number, since it uses less digits than its factorization.

422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 422100 is about 649.6922348312. The cubic root of 422100 is about 75.0133309637.

Adding to 422100 its reverse (1224), we get a palindrome (423324).

The spelling of 422100 in words is "four hundred twenty-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 67 70 75 84 90 100 105 126 134 140 150 175 180 201 210 225 252 268 300 315 335 350 402 420 450 469 525 603 630 670 700 804 900 938 1005 1050 1206 1260 1340 1407 1575 1675 1876 2010 2100 2345 2412 2814 3015 3150 3350 4020 4221 4690 5025 5628 6030 6300 6700 7035 8442 9380 10050 11725 12060 14070 15075 16884 20100 21105 23450 28140 30150 35175 42210 46900 60300 70350 84420 105525 140700 211050 422100