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1220323020 = 223576594409
BaseRepresentation
bin100100010111100…
…1010011011001100
310011001020211110220
41020233022123030
54444400314040
6321031431340
742145401030
oct11057123314
93131224426
101220323020
11576927824
122a0825550
13165a8b937
14b81001c0
15722022d0
hex48bca6cc

1220323020 has 96 divisors (see below), whose sum is σ = 3911846400. Its totient is φ = 278444544.

The previous prime is 1220323009. The next prime is 1220323031. The reversal of 1220323020 is 203230221.

It is an interprime number because it is at equal distance from previous prime (1220323009) and next prime (1220323031).

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

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, 274576 + ... + 278984.

It is an arithmetic number, because the mean of its divisors is an integer number (40748400).

Almost surely, 21220323020 is an apocalyptic number.

1220323020 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 1220323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955923200).

1220323020 is an abundant number, since it is smaller than the sum of its proper divisors (2691523380).

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

1220323020 is a wasteful number, since it uses less digits than its factorization.

1220323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5085 counting only the distinct ones).

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

The square root of 1220323020 is about 34933.1221049594. The cubic root of 1220323020 is about 1068.6240268744.

Adding to 1220323020 its reverse (203230221), we get a palindrome (1423553241).

The spelling of 1220323020 in words is "one billion, two hundred twenty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 659 1318 1977 2636 3295 3954 4409 4613 6590 7908 8818 9226 9885 13180 13227 13839 17636 18452 19770 22045 23065 26454 27678 30863 39540 44090 46130 52908 55356 61726 66135 69195 88180 92260 92589 123452 132270 138390 154315 185178 264540 276780 308630 370356 462945 617260 925890 1851780 2905531 5811062 8716593 11622124 14527655 17433186 20338717 29055310 34866372 40677434 43582965 58110620 61016151 81354868 87165930 101693585 122032302 174331860 203387170 244064604 305080755 406774340 610161510 1220323020