Search a number
-
+
422223100 = 2252133110477
BaseRepresentation
bin11001001010101…
…001110011111100
31002102111011012121
4121022221303330
51331042114400
6105521412324
713314560065
oct3112516374
91072434177
10422223100
111a7374512
12b949a0a4
1369622870
144010b56c
152710321a
hex192a9cfc

422223100 has 72 divisors (see below), whose sum is σ = 1018629248. Its totient is φ = 150854400.

The previous prime is 422223091. The next prime is 422223103. The reversal of 422223100 is 1322224.

It is a super-2 number, since 2×4222231002 = 356544692347220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35062 + ... + 45538.

Almost surely, 2422223100 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 422223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509314624).

422223100 is an abundant number, since it is smaller than the sum of its proper divisors (596406148).

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

422223100 is a wasteful number, since it uses less digits than its factorization.

422223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 422223100 is about 20548.0680357059. The cubic root of 422223100 is about 750.2062247714.

Adding to 422223100 its reverse (1322224), we get a palindrome (423545324).

The spelling of 422223100 in words is "four hundred twenty-two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 4030 8060 10075 10477 20150 20954 40300 41908 52385 104770 136201 209540 261925 272402 324787 523850 544804 649574 681005 1047700 1299148 1362010 1623935 2724020 3247870 3405025 4222231 6495740 6810050 8119675 8444462 13620100 16239350 16888924 21111155 32478700 42222310 84444620 105555775 211111550 422223100