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2245200012 = 223311315619
BaseRepresentation
bin1000010111010011…
…0000100010001100
312210110201222102000
42011310300202030
514044232400022
61010442232300
7106431612426
oct20564604214
95713658360
102245200012
11a523a2000
12527ab5690
1329a1c9023
14174285816
15d21996ac
hex85d3088c

2245200012 has 96 divisors (see below), whose sum is σ = 6402950400. Its totient is φ = 680320080.

The previous prime is 2245200007. The next prime is 2245200053. The reversal of 2245200012 is 2100025422.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 135939 + ... + 151557.

It is an arithmetic number, because the mean of its divisors is an integer number (66697400).

Almost surely, 22245200012 is an apocalyptic number.

2245200012 is a gapful number since it is divisible by the number (22) 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 2245200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201475200).

2245200012 is an abundant number, since it is smaller than the sum of its proper divisors (4157750388).

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

2245200012 is a wasteful number, since it uses less digits than its factorization.

2245200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15665 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245200012 is about 47383.5415729977. The cubic root of 2245200012 is about 1309.4382168615.

Adding to 2245200012 its reverse (2100025422), we get a palindrome (4345225434).

The spelling of 2245200012 in words is "two billion, two hundred forty-five million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1331 1452 2178 2662 3267 3993 4356 5324 6534 7986 11979 13068 15619 15972 23958 31238 35937 46857 47916 62476 71874 93714 140571 143748 171809 187428 281142 343618 421713 515427 562284 687236 843426 1030854 1546281 1686852 1889899 2061708 3092562 3779798 4638843 5669697 6185124 7559596 9277686 11339394 17009091 18555372 20788889 22678788 34018182 41577778 51027273 62366667 68036364 83155556 102054546 124733334 187100001 204109092 249466668 374200002 561300003 748400004 1122600006 2245200012