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230222100 = 223522113637
BaseRepresentation
bin11011011100011…
…10100100010100
3121001012111100110
431232032210110
5432414101400
634502243020
75463566313
oct1556164424
9531174313
10230222100
11108a552a9
1265126470
13389093c4
142280c27a
1515328e50
hexdb8e914

230222100 has 72 divisors (see below), whose sum is σ = 669450208. Its totient is φ = 61084800.

The previous prime is 230222099. The next prime is 230222119. The reversal of 230222100 is 1222032.

230222100 is digitally balanced in base 2, 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61482 + ... + 65118.

Almost surely, 2230222100 is an apocalyptic number.

230222100 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 230222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334725104).

230222100 is an abundant number, since it is smaller than the sum of its proper divisors (439228108).

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

230222100 is a wasteful number, since it uses less digits than its factorization.

230222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230222100 is about 15173.0715413854. The cubic root of 230222100 is about 612.8897200461.

Adding to 230222100 its reverse (1222032), we get a palindrome (231444132).

The spelling of 230222100 in words is "two hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 2110 2532 3165 3637 4220 5275 6330 7274 10550 10911 12660 14548 15825 18185 21100 21822 31650 36370 43644 54555 63300 72740 90925 109110 181850 218220 272775 363700 545550 767407 1091100 1534814 2302221 3069628 3837035 4604442 7674070 9208884 11511105 15348140 19185175 23022210 38370350 46044420 57555525 76740700 115111050 230222100