Search a number
-
+
10220003332 = 22711293793019
BaseRepresentation
bin10011000010010100…
…01110000000000100
3222101020201221221221
421201022032000010
5131412310101312
64410042050124
7511155411040
oct114112160004
928336657857
1010220003332
114374a1a850
121b927a9944
13c6b459566
146cd471020
153ec369207
hex26128e004

10220003332 has 96 divisors (see below), whose sum is σ = 23135616000. Its totient is φ = 3833101440.

The previous prime is 10220003327. The next prime is 10220003357. The reversal of 10220003332 is 23330002201.

It is a super-2 number, since 2×102200033322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3383719 + ... + 3386737.

It is an arithmetic number, because the mean of its divisors is an integer number (240996000).

Almost surely, 210220003332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567808000).

10220003332 is an abundant number, since it is smaller than the sum of its proper divisors (12915612668).

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

10220003332 is a wasteful number, since it uses less digits than its factorization.

10220003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10220003332 its reverse (23330002201), we get a palindrome (33550005533).

The spelling of 10220003332 in words is "ten billion, two hundred twenty million, three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 379 406 638 758 812 1276 1516 2233 2653 3019 4169 4466 5306 6038 8338 8932 10612 10991 12076 16676 21133 21982 29183 33209 42266 43964 58366 66418 76937 84532 87551 116732 120901 132836 153874 175102 232463 241802 307748 350204 464926 483604 612857 846307 929852 963061 1144201 1225714 1692614 1926122 2288402 2451428 3385228 3852244 4576804 6741427 8009407 12586211 13482854 16018814 25172422 26965708 32037628 33181829 50344844 66363658 88103477 132727316 176206954 232272803 352413908 365000119 464545606 730000238 929091212 1460000476 2555000833 5110001666 10220003332