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10220133200 = 245225550333
BaseRepresentation
bin10011000010010101…
…01101101101010000
3222101020222120002212
421201022231231100
5131412323230300
64410044531252
7511156461464
oct114112555520
928336876085
1010220133200
114374aa9382
121b92850b28
13c6b4a36c4
146cd4a64a4
153ec392935
hex2612adb50

10220133200 has 30 divisors (see below), whose sum is σ = 24553870974. Its totient is φ = 4088053120.

The previous prime is 10220133179. The next prime is 10220133247. The reversal of 10220133200 is 233102201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 599662144 + 9620471056 = 24488^2 + 98084^2 .

It is a super-2 number, since 2×102201332002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12774767 + ... + 12775566.

Almost surely, 210220133200 is an apocalyptic number.

10220133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220133200 is an abundant number, since it is smaller than the sum of its proper divisors (14333737774).

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

10220133200 is a wasteful number, since it uses less digits than its factorization.

10220133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25550351 (or 25550340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10220133200 its reverse (233102201), we get a palindrome (10453235401).

The spelling of 10220133200 in words is "ten billion, two hundred twenty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25550333 51100666 102201332 127751665 204402664 255503330 408805328 511006660 638758325 1022013320 1277516650 2044026640 2555033300 5110066600 10220133200