Search a number
-
+
10000022202 = 23219236731889
BaseRepresentation
bin10010101000000110…
…00011101010111010
3221210220210202120200
421110003003222322
5130440001202302
64332143103030
7502544533452
oct112403035272
927726722520
1010000022202
11427182a765
121b30ba1a76
13c349c7601
146ac16ad62
153d7db481c
hex2540c3aba

10000022202 has 96 divisors (see below), whose sum is σ = 23846659200. Its totient is φ = 3014516736.

The previous prime is 10000022189. The next prime is 10000022209. The reversal of 10000022202 is 20222000001.

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

It is not an unprimeable number, because it can be changed into a prime (10000022209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5292874 + ... + 5294762.

It is an arithmetic number, because the mean of its divisors is an integer number (248402700).

Almost surely, 210000022202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923329600).

10000022202 is an abundant number, since it is smaller than the sum of its proper divisors (13846636998).

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

10000022202 is a wasteful number, since it uses less digits than its factorization.

10000022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2609 counting only the distinct ones).

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

Adding to 10000022202 its reverse (20222000001), we get a palindrome (30222022203).

The spelling of 10000022202 in words is "ten billion, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 673 874 1311 1346 1889 2019 2622 3778 3933 4038 5667 6057 7866 11334 12114 12787 15479 17001 25574 30958 34002 35891 38361 43447 46437 71782 76722 86894 92874 107673 115083 130341 139311 215346 230166 260682 278622 294101 323019 391023 588202 646038 782046 825493 882303 1271297 1650986 1764606 2476479 2542594 2646909 3813891 4952958 5293818 7429437 7627782 11441673 14858874 22883346 24154643 29239831 48309286 58479662 72463929 87719493 144927858 175438986 217391787 263158479 434783574 526316958 555556789 1111113578 1666670367 3333340734 5000011101 10000022202