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221223000300 = 223522175733893
BaseRepresentation
bin1100111000000111101…
…0110001100011101100
3210011000102002210202120
43032001322301203230
512111031042002200
6245343424352540
721661053322311
oct3160172614354
9704012083676
10221223000300
1185902686475
1236a5b175750
1317b271b2213
14a9c89a2d08
155b4b7709a0
hex3381eb18ec

221223000300 has 72 divisors (see below), whose sum is σ = 640120185936. Its totient is φ = 58988348160.

The previous prime is 221223000287. The next prime is 221223000319. The reversal of 221223000300 is 3000322122.

221223000300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221223000300.

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 23 ways as a sum of consecutive naturals, for example, 6510154 + ... + 6544046.

It is an arithmetic number, because the mean of its divisors is an integer number (8890558138).

Almost surely, 2221223000300 is an apocalyptic number.

221223000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221223000300 is an abundant number, since it is smaller than the sum of its proper divisors (418897185636).

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

221223000300 is a wasteful number, since it uses less digits than its factorization.

221223000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55667 (or 55660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221223000300 its reverse (3000322122), we get a palindrome (224223322422).

The spelling of 221223000300 in words is "two hundred twenty-one billion, two hundred twenty-three million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21757 33893 43514 65271 67786 87028 101679 108785 130542 135572 169465 203358 217570 261084 326355 338930 406716 435140 508395 543925 652710 677860 847325 1016790 1087850 1305420 1631775 1694650 2033580 2175700 2541975 3263550 3389300 5083950 6527100 10167900 737410001 1474820002 2212230003 2949640004 3687050005 4424460006 7374100010 8848920012 11061150015 14748200020 18435250025 22122300030 36870500050 44244600060 55305750075 73741000100 110611500150 221223000300