Search a number
-
+
10002212220 = 223572111337643
BaseRepresentation
bin10010101000010110…
…11010010101111100
3221211001221000201110
421110023122111330
5130441031242340
64332302042020
7502602254400
oct112413322574
927731830643
1010002212220
114272a960a0
121b31879310
13c352b3390
146ac57b100
153d8198680
hex2542da57c

10002212220 has 576 divisors, whose sum is σ = 39369770496. Its totient is φ = 1863751680.

The previous prime is 10002212197. The next prime is 10002212267. The reversal of 10002212220 is 2221220001.

10002212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002212196 and 10002212205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15555219 + ... + 15555861.

It is an arithmetic number, because the mean of its divisors is an integer number (68350296).

Almost surely, 210002212220 is an apocalyptic number.

10002212220 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 10002212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684885248).

10002212220 is an abundant number, since it is smaller than the sum of its proper divisors (29367558276).

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

10002212220 is a wasteful number, since it uses less digits than its factorization.

10002212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002212220 its reverse (2221220001), we get a palindrome (12223432221).

It can be divided in two parts, 10002 and 212220, that added together give a palindrome (222222).

The spelling of 10002212220 in words is "ten billion, two million, two hundred twelve thousand, two hundred twenty".