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2213332320 = 253523200483
BaseRepresentation
bin1000001111101100…
…1100010101100000
312201020202221011010
42003323030111200
514013103113240
61003343220520
7105564004623
oct20373142540
95636687133
102213332320
11a36406371
125192a7740
1329371bbc4
1416dd4bdba
15ce4a2280
hex83ecc560

2213332320 has 96 divisors (see below), whose sum is σ = 7275163392. Its totient is φ = 564557312.

The previous prime is 2213332291. The next prime is 2213332321. The reversal of 2213332320 is 232333122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213332321) 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, 89202 + ... + 111281.

It is an arithmetic number, because the mean of its divisors is an integer number (75782952).

Almost surely, 22213332320 is an apocalyptic number.

2213332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213332320 is an abundant number, since it is smaller than the sum of its proper divisors (5061831072).

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

2213332320 is a wasteful number, since it uses less digits than its factorization.

2213332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200524 (or 200516 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2213332320 is about 47046.0659354212. The cubic root of 2213332320 is about 1303.2134152410.

Adding to 2213332320 its reverse (232333122), we get a palindrome (2445665442).

The spelling of 2213332320 in words is "two billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 200483 400966 601449 801932 1002415 1202898 1603864 2004830 2405796 3007245 3207728 4009660 4611109 4811592 6014490 6415456 8019320 9222218 9623184 12028980 13833327 16038640 18444436 19246368 23055545 24057960 27666654 32077280 36888872 46111090 48115920 55333308 69166635 73777744 92222180 96231840 110666616 138333270 147555488 184444360 221333232 276666540 368888720 442666464 553333080 737777440 1106666160 2213332320