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1220230320 = 243523321821
BaseRepresentation
bin100100010111011…
…0011110010110000
310011001002010022120
41020232303302300
54444334332240
6321025434240
742144533541
oct11056636260
93131063276
101220230320
11576874111
122a079b980
13165a5869a
14b80b84c8
15721d4ad0
hex48bb3cb0

1220230320 has 80 divisors (see below), whose sum is σ = 3799122912. Its totient is φ = 323983360.

The previous prime is 1220230313. The next prime is 1220230321. The reversal of 1220230320 is 230320221.

It is a tau number, because it is divible by the number of its divisors (80).

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 1220230320.

It is not an unprimeable number, because it can be changed into a prime (1220230321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45010 + ... + 66830.

Almost surely, 21220230320 is an apocalyptic number.

1220230320 is a gapful number since it is divisible by the number (10) 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 1220230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899561456).

1220230320 is an abundant number, since it is smaller than the sum of its proper divisors (2578892592).

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

1220230320 is a wasteful number, since it uses less digits than its factorization.

1220230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22070 (or 22064 counting only the distinct ones).

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

The square root of 1220230320 is about 34931.7952587610. The cubic root of 1220230320 is about 1068.5969673844.

Adding to 1220230320 its reverse (230320221), we get a palindrome (1450550541).

It can be divided in two parts, 1220 and 230320, that added together give a triangular number (231540 = T680).

The spelling of 1220230320 in words is "one billion, two hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 9320 11184 13980 18640 21821 27960 43642 55920 65463 87284 109105 130926 174568 218210 261852 327315 349136 436420 523704 654630 872840 1047408 1309260 1745680 2618520 5084293 5237040 10168586 15252879 20337172 25421465 30505758 40674344 50842930 61011516 76264395 81348688 101685860 122023032 152528790 203371720 244046064 305057580 406743440 610115160 1220230320