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2212311320 = 235173319829
BaseRepresentation
bin1000001111011101…
…0011000100011000
312201011212001121022
42003313103010120
514012322430240
61003305302012
7105552223142
oct20367230430
95634761538
102212311320
11a3587926a
12518a94908
1329345226b
1416db63c92
15ce34e9b5
hex83dd3118

2212311320 has 64 divisors (see below), whose sum is σ = 5286967200. Its totient is φ = 830269440.

The previous prime is 2212311287. The next prime is 2212311347. The reversal of 2212311320 is 231132122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220166 + ... + 229994.

Almost surely, 22212311320 is an apocalyptic number.

2212311320 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 2212311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643483600).

2212311320 is an abundant number, since it is smaller than the sum of its proper divisors (3074655880).

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

2212311320 is a wasteful number, since it uses less digits than its factorization.

2212311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2212311320 is about 47035.2136170338. The cubic root of 2212311320 is about 1303.0129956392.

Adding to 2212311320 its reverse (231132122), we get a palindrome (2443443442).

The spelling of 2212311320 in words is "two billion, two hundred twelve million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 331 340 662 680 1324 1655 2648 3310 5627 6620 9829 11254 13240 19658 22508 28135 39316 45016 49145 56270 78632 98290 112540 167093 196580 225080 334186 393160 668372 835465 1336744 1670930 3253399 3341860 6506798 6683720 13013596 16266995 26027192 32533990 55307783 65067980 110615566 130135960 221231132 276538915 442462264 553077830 1106155660 2212311320