Search a number
-
+
10222113200 = 2452134314561
BaseRepresentation
bin10011000010100100…
…10001000110110000
3222101101201011011012
421201102101012300
5131413330110300
64410155210052
7511212346205
oct114122210660
928341634135
1010222113200
114376130a42
121b93446928
13c6ba179c0
146cd85dcac
153ec634435
hex2614911b0

10222113200 has 120 divisors (see below), whose sum is σ = 26514927936. Its totient is φ = 3764736000.

The previous prime is 10222113199. The next prime is 10222113203. The reversal of 10222113200 is 231122201.

It is a happy number.

It is a super-2 number, since 2×102221132002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222113203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238920 + ... + 2243480.

Almost surely, 210222113200 is an apocalyptic number.

10222113200 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 10222113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257463968).

10222113200 is an abundant number, since it is smaller than the sum of its proper divisors (16292814736).

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

10222113200 is a wasteful number, since it uses less digits than its factorization.

10222113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10222113200 its reverse (231122201), we get a palindrome (10453235401).

Subtracting from 10222113200 its reverse (231122201), we obtain a palindrome (9990990999).

The spelling of 10222113200 in words is "ten billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 431 520 650 862 1040 1300 1724 2155 2600 3448 4310 4561 5200 5603 6896 8620 9122 10775 11206 17240 18244 21550 22412 22805 28015 34480 36488 43100 44824 45610 56030 59293 72976 86200 89648 91220 112060 114025 118586 140075 172400 182440 224120 228050 237172 280150 296465 364880 448240 456100 474344 560300 592930 912200 948688 1120600 1185860 1482325 1824400 1965791 2241200 2371720 2964650 3931582 4743440 5929300 7863164 9828955 11858600 15726328 19657910 23717200 25555283 31452656 39315820 49144775 51110566 78631640 98289550 102221132 127776415 157263280 196579100 204442264 255552830 393158200 408884528 511105660 638882075 786316400 1022211320 1277764150 2044422640 2555528300 5111056600 10222113200