Search a number
-
+
10221000220 = 2251921415651
BaseRepresentation
bin10011000010011100…
…00001011000011100
3222101022121121102201
421201032001120130
5131413034001340
64410115301244
7511200032314
oct114116013034
928338547381
1010221000220
114375540822
121b92baa824
13c6b718232
146cd650444
153ec4b479a
hex26138161c

10221000220 has 36 divisors (see below), whose sum is σ = 22653263304. Its totient is φ = 3873218400.

The previous prime is 10221000203. The next prime is 10221000227. The reversal of 10221000220 is 2200012201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10221000197 and 10221000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221000227) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 700606 + ... + 715045.

It is an arithmetic number, because the mean of its divisors is an integer number (629257314).

Almost surely, 210221000220 is an apocalyptic number.

10221000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221000220 is an abundant number, since it is smaller than the sum of its proper divisors (12432263084).

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

10221000220 is a wasteful number, since it uses less digits than its factorization.

10221000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415698 (or 1415677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10221000220 its reverse (2200012201), we get a palindrome (12421012421).

The spelling of 10221000220 in words is "ten billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 1415651 2831302 5662604 7078255 14156510 26897369 28313020 53794738 107589476 134486845 268973690 511050011 537947380 1022100022 2044200044 2555250055 5110500110 10221000220