Search a number
-
+
10220232000 = 263531138713
BaseRepresentation
bin10011000010010110…
…00101110101000000
3222101021011120122010
421201023011311000
5131412334411000
64410051012520
7511160352516
oct114113056500
928337146563
1010220232000
114375066630
121b9289a140
13c6b509674
146cd4d04b6
153ec3b1d50
hex2612c5d40

10220232000 has 224 divisors, whose sum is σ = 36816084864. Its totient is φ = 2477568000.

The previous prime is 10220231947. The next prime is 10220232017. The reversal of 10220232000 is 23202201.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244644 + ... + 283356.

Almost surely, 210220232000 is an apocalyptic number.

10220232000 is a gapful number since it is divisible by the number (10) 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 10220232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408042432).

10220232000 is an abundant number, since it is smaller than the sum of its proper divisors (26595852864).

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

10220232000 is a wasteful number, since it uses less digits than its factorization.

10220232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754 (or 38734 counting only the distinct ones).

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

Adding to 10220232000 its reverse (23202201), we get a palindrome (10243434201).

The spelling of 10220232000 in words is "ten billion, two hundred twenty million, two hundred thirty-two thousand".