Search a number
-
+
33223230102300 = 223527371014233499
BaseRepresentation
bin1111000110111011000101…
…10101000001101100011100
311100122002222000210012000220
413203131202311001230130
513323312133401233200
6154354312522321340
76666204420250140
oct743354265015434
9140562860705026
1033223230102300
11a6499902a0687
123886a74659250
13156cc24c14184
1482c02762d220
153c932c0a54a0
hex1e3762d41b1c

33223230102300 has 288 divisors, whose sum is σ = 113944415424000. Its totient is φ = 7315484544000.

The previous prime is 33223230102259. The next prime is 33223230102301. The reversal of 33223230102300 is 320103232233.

It is a super-2 number, since 2×332232301023002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223230102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5730951 + ... + 9964449.

Almost surely, 233223230102300 is an apocalyptic number.

33223230102300 is a gapful number since it is divisible by the number (30) 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 33223230102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56972207712000).

33223230102300 is an abundant number, since it is smaller than the sum of its proper divisors (80721185321700).

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

33223230102300 is a wasteful number, since it uses less digits than its factorization.

33223230102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233661 (or 4233654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 33223230102300 its reverse (320103232233), we get a palindrome (33543333334533).

The spelling of 33223230102300 in words is "thirty-three trillion, two hundred twenty-three billion, two hundred thirty million, one hundred two thousand, three hundred".