Search a number
-
+
10002220200 = 233552729401
BaseRepresentation
bin10010101000010110…
…11100010010101000
3221211001221102200000
421110023130102220
5130441032021300
64332302143000
7502602316560
oct112413342250
927731842600
1010002220200
114272aa1095
121b31881a60
13c352b6bbb
146ac57dda0
153d819ac00
hex2542dc4a8

10002220200 has 288 divisors, whose sum is σ = 39812660160. Its totient is φ = 2286144000.

The previous prime is 10002220169. The next prime is 10002220229. The reversal of 10002220200 is 202220001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 325500 + ... + 354900.

Almost surely, 210002220200 is an apocalyptic number.

10002220200 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 10002220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906330080).

10002220200 is an abundant number, since it is smaller than the sum of its proper divisors (29810439960).

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

10002220200 is a wasteful number, since it uses less digits than its factorization.

10002220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29439 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10002220200 its reverse (202220001), we get a palindrome (10204440201).

The spelling of 10002220200 in words is "ten billion, two million, two hundred twenty thousand, two hundred".