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230222031000 = 233531319973203
BaseRepresentation
bin1101011001101001001…
…1010110100010011000
3211000020120100221010220
43112122103112202120
512232443314443000
6253432413040040
722430054655363
oct3263223264230
9730216327126
10230222031000
1189700375425
1238750a86020
131892c6b3260
14b1ddc050da
155ec680a1a0
hex359a4d6898

230222031000 has 512 divisors, whose sum is σ = 822910233600. Its totient is φ = 53117337600.

The previous prime is 230222030993. The next prime is 230222031001. The reversal of 230222031000 is 130222032.

It is a super-2 number, since 2×2302220310002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230222031001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71875399 + ... + 71878601.

It is an arithmetic number, because the mean of its divisors is an integer number (1607246550).

Almost surely, 2230222031000 is an apocalyptic number.

230222031000 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 230222031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411455116800).

230222031000 is an abundant number, since it is smaller than the sum of its proper divisors (592688202600).

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

230222031000 is a wasteful number, since it uses less digits than its factorization.

230222031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230222031000 its reverse (130222032), we get a palindrome (230352253032).

The spelling of 230222031000 in words is "two hundred thirty billion, two hundred twenty-two million, thirty-one thousand".