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230222222100 = 2232521385922907
BaseRepresentation
bin1101011001101001010…
…0000101001100010100
3211000020120201122021200
43112122110011030110
512232443342101400
6253432421112500
722430056412463
oct3263224051424
9730216648250
10230222222100
1189700495a62
1238750b58730
131892c74c230
14b1ddc549da
155ec6846b00
hex359a505314

230222222100 has 216 divisors, whose sum is σ = 778066554720. Its totient is φ = 56601642240.

The previous prime is 230222222089. The next prime is 230222222117. The reversal of 230222222100 is 1222222032.

230222222100 is a `hidden beast` number, since 230 + 2 + 2 + 222 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10038847 + ... + 10061753.

Almost surely, 2230222222100 is an apocalyptic number.

230222222100 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 230222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389033277360).

230222222100 is an abundant number, since it is smaller than the sum of its proper divisors (547844332620).

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

230222222100 is a wasteful number, since it uses less digits than its factorization.

230222222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23799 (or 23789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230222222100 its reverse (1222222032), we get a palindrome (231444444132).

The spelling of 230222222100 in words is "two hundred thirty billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".