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10022232220 = 225711131912621
BaseRepresentation
bin10010101010101111…
…10010000010011100
3221212110121010222221
421111113302002130
5131011142412340
64334255115124
7503234365630
oct112527620234
927773533887
1010022232220
11428331a450
121b38512aa4
13c394a2930
146b10acdc0
153d9d0044a
hex2555f209c

10022232220 has 192 divisors, whose sum is σ = 28417277952. Its totient is φ = 2867328000.

The previous prime is 10022232211. The next prime is 10022232223. The reversal of 10022232220 is 2223222001.

It is a super-2 number, since 2×100222322202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022232194 and 10022232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022232223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3822510 + ... + 3825130.

It is an arithmetic number, because the mean of its divisors is an integer number (148006656).

Almost surely, 210022232220 is an apocalyptic number.

10022232220 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 10022232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208638976).

10022232220 is an abundant number, since it is smaller than the sum of its proper divisors (18395045732).

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

10022232220 is a wasteful number, since it uses less digits than its factorization.

10022232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10022232220 its reverse (2223222001), we get a palindrome (12245454221).

It can be divided in two parts, 10022 and 232220, that added together give a palindrome (242242).

The spelling of 10022232220 in words is "ten billion, twenty-two million, two hundred thirty-two thousand, two hundred twenty".