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2200662320 = 245375211427
BaseRepresentation
bin1000001100101011…
…0111000100110000
312200100221020011212
42003022313010300
514001332143240
61002211455252
7105351215063
oct20312670460
95610836155
102200662320
11a2a24219a
12514bb7528
13290c03c6c
1416c3b08da
15cd2ed165
hex832b7130

2200662320 has 80 divisors (see below), whose sum is σ = 5268600288. Its totient is φ = 854231040.

The previous prime is 2200662311. The next prime is 2200662323. The reversal of 2200662320 is 232660022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2200662323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541447 + ... + 1542873.

Almost surely, 22200662320 is an apocalyptic number.

2200662320 is a gapful number since it is divisible by the number (20) 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 2200662320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634300144).

2200662320 is an abundant number, since it is smaller than the sum of its proper divisors (3067937968).

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

2200662320 is a wasteful number, since it uses less digits than its factorization.

2200662320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2200662320 is about 46911.2174218491. The cubic root of 2200662320 is about 1300.7219500784.

The spelling of 2200662320 in words is "two billion, two hundred million, six hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 521 592 740 1042 1427 1480 2084 2605 2854 2960 4168 5210 5708 7135 8336 10420 11416 14270 19277 20840 22832 28540 38554 41680 52799 57080 77108 96385 105598 114160 154216 192770 211196 263995 308432 385540 422392 527990 743467 771080 844784 1055980 1486934 1542160 2111960 2973868 3717335 4223920 5947736 7434670 11895472 14869340 27508279 29738680 55016558 59477360 110033116 137541395 220066232 275082790 440132464 550165580 1100331160 2200662320