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220200001248 = 25315271150203
BaseRepresentation
bin1100110100010011110…
…0010101111011100000
3210001101010011001212210
43031010330111323200
512101432200014443
6245054122122120
721623522061633
oct3150474257340
9701333131783
10220200001248
1185428184107
1236814650340
13179c3281836
14a92cb89c1a
155adba49c33
hex3344f15ee0

220200001248 has 48 divisors (see below), whose sum is σ = 578066702976. Its totient is φ = 73394705280.

The previous prime is 220200001247. The next prime is 220200001279. The reversal of 220200001248 is 842100002022.

It is a happy number.

220200001248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200001247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1390915 + ... + 1541117.

It is an arithmetic number, because the mean of its divisors is an integer number (12043056312).

Almost surely, 2220200001248 is an apocalyptic number.

It is an amenable number.

220200001248 is an abundant number, since it is smaller than the sum of its proper divisors (357866701728).

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

220200001248 is a wasteful number, since it uses less digits than its factorization.

220200001248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165487 (or 165479 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The spelling of 220200001248 in words is "two hundred twenty billion, two hundred million, one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 15271 30542 45813 61084 91626 122168 150203 183252 244336 300406 366504 450609 488672 600812 733008 901218 1201624 1466016 1802436 2403248 3604872 4806496 7209744 14419488 2293750013 4587500026 6881250039 9175000052 13762500078 18350000104 27525000156 36700000208 55050000312 73400000416 110100000624 220200001248