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214223100 = 2235272131959
BaseRepresentation
bin11001100010011…
…00100011111100
3112221002122211220
430301030203330
5414320114400
633131313340
75210603100
oct1461144374
9487078756
10214223100
11aaa17a93
125b8ab850
13354c7140
1420645900
1513c187a0
hexcc4c8fc

214223100 has 432 divisors, whose sum is σ = 831196800. Its totient is φ = 42094080.

The previous prime is 214223071. The next prime is 214223101. The reversal of 214223100 is 1322412.

214223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142231002 = 91783073147220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3630871 + ... + 3630929.

Almost surely, 2214223100 is an apocalyptic number.

214223100 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 214223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415598400).

214223100 is an abundant number, since it is smaller than the sum of its proper divisors (616973700).

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

214223100 is a wasteful number, since it uses less digits than its factorization.

214223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214223100 is about 14636.3622529644. The cubic root of 214223100 is about 598.3501899247.

Adding to 214223100 its reverse (1322412), we get a palindrome (215545512).

The spelling of 214223100 in words is "two hundred fourteen million, two hundred twenty-three thousand, one hundred".