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2212663344 = 243293742961
BaseRepresentation
bin1000001111100010…
…1001000000110000
312201012111221111020
42003320221000300
514012420211334
61003321015440
7105555220353
oct20370510060
95635457436
102212663344
11a35a997a1
12519024580
13293546568
1416dc1629a
15ce3bde49
hex83e29030

2212663344 has 80 divisors (see below), whose sum is σ = 6073108320. Its totient is φ = 692858880.

The previous prime is 2212663331. The next prime is 2212663357. The reversal of 2212663344 is 4433662122.

It is an interprime number because it is at equal distance from previous prime (2212663331) and next prime (2212663357).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30024 + ... + 72984.

It is an arithmetic number, because the mean of its divisors is an integer number (75913854).

Almost surely, 22212663344 is an apocalyptic number.

2212663344 is a gapful number since it is divisible by the number (24) 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 2212663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036554160).

2212663344 is an abundant number, since it is smaller than the sum of its proper divisors (3860444976).

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

2212663344 is a wasteful number, since it uses less digits than its factorization.

2212663344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43038 (or 43032 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 2212663344 is about 47038.9556006508. The cubic root of 2212663344 is about 1303.0821039839.

The spelling of 2212663344 in words is "two billion, two hundred twelve million, six hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 888 1073 1392 1776 2146 3219 4292 6438 8584 12876 17168 25752 42961 51504 85922 128883 171844 257766 343688 515532 687376 1031064 1245869 1589557 2062128 2491738 3179114 3737607 4768671 4983476 6358228 7475214 9537342 9966952 12716456 14950428 19074684 19933904 25432912 29900856 38149368 46097153 59801712 76298736 92194306 138291459 184388612 276582918 368777224 553165836 737554448 1106331672 2212663344