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1221323320 = 23575717639
BaseRepresentation
bin100100011001011…
…1110101000111000
310011010010122122001
41020302332220320
510000124321240
6321105110344
742160035250
oct11062765070
93133118561
101221323320
11577450318
122a10283b4
1316604c029
14b82c0960
157234d89a
hex48cbea38

1221323320 has 64 divisors (see below), whose sum is σ = 3146457600. Its totient is φ = 417951360.

The previous prime is 1221323291. The next prime is 1221323329. The reversal of 1221323320 is 233231221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221323329) 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, 156061 + ... + 163699.

It is an arithmetic number, because the mean of its divisors is an integer number (49163400).

Almost surely, 21221323320 is an apocalyptic number.

1221323320 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 1221323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573228800).

1221323320 is an abundant number, since it is smaller than the sum of its proper divisors (1925134280).

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

1221323320 is a wasteful number, since it uses less digits than its factorization.

1221323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1221323320 is about 34947.4365297371. The cubic root of 1221323320 is about 1068.9159311921.

Adding to 1221323320 its reverse (233231221), we get a palindrome (1454554541).

The spelling of 1221323320 in words is "one billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 571 1142 2284 2855 3997 4568 5710 7639 7994 11420 15278 15988 19985 22840 30556 31976 38195 39970 53473 61112 76390 79940 106946 152780 159880 213892 267365 305560 427784 534730 1069460 2138920 4361869 8723738 17447476 21809345 30533083 34894952 43618690 61066166 87237380 122132332 152665415 174474760 244264664 305330830 610661660 1221323320