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1000225212 = 223717336871
BaseRepresentation
bin111011100111100…
…011100110111100
32120201002201001020
4323213203212330
54022024201322
6243130144140
733533526330
oct7347434674
92521081036
101000225212
11473668008
1223ab82050
1312c2b884c
1496ba97c0
155cc2805c
hex3b9e39bc

1000225212 has 48 divisors (see below), whose sum is σ = 2669194752. Its totient is φ = 285572160.

The previous prime is 1000225207. The next prime is 1000225231. The reversal of 1000225212 is 2125220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000225191 and 1000225200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142137 + ... + 149007.

It is an arithmetic number, because the mean of its divisors is an integer number (55608224).

Almost surely, 21000225212 is an apocalyptic number.

1000225212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000225212 is an abundant number, since it is smaller than the sum of its proper divisors (1668969540).

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

1000225212 is a wasteful number, since it uses less digits than its factorization.

1000225212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1000225212 is about 31626.3373155982. The cubic root of 1000225212 is about 1000.0750650318.

Adding to 1000225212 its reverse (2125220001), we get a palindrome (3125445213).

The spelling of 1000225212 in words is "one billion, two hundred twenty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1733 3466 5199 6871 6932 10398 12131 13742 20613 20796 24262 27484 36393 41226 48097 48524 72786 82452 96194 144291 145572 192388 288582 577164 11907443 23814886 35722329 47629772 71444658 83352101 142889316 166704202 250056303 333408404 500112606 1000225212