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2243232320 = 26572343541
BaseRepresentation
bin1000010110110101…
…0000001001000000
312210100001000020112
42011231100021000
514043231413240
61010332130452
7106406105630
oct20555201100
95710030215
102243232320
11a5127870a
12527306a28
1329998a504
14173cd26c0
15d1e0b665
hex85b50240

2243232320 has 112 divisors (see below), whose sum is σ = 6370368768. Its totient is φ = 735651840.

The previous prime is 2243232307. The next prime is 2243232349. The reversal of 2243232320 is 232323422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 29750 + ... + 73290.

Almost surely, 22243232320 is an apocalyptic number.

2243232320 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 2243232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185184384).

2243232320 is an abundant number, since it is smaller than the sum of its proper divisors (4127136448).

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

2243232320 is a wasteful number, since it uses less digits than its factorization.

2243232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43588 (or 43578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2243232320 is about 47362.7735674337. The cubic root of 2243232320 is about 1309.0555747571.

Adding to 2243232320 its reverse (232323422), we get a palindrome (2475555742).

The spelling of 2243232320 in words is "two billion, two hundred forty-three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 43541 51520 87082 174164 217705 304787 348328 435410 609574 696656 870820 1001443 1219148 1393312 1523935 1741640 2002886 2438296 2786624 3047870 3483280 4005772 4876592 5007215 6095740 6966560 7010101 8011544 9753184 10014430 12191480 13933120 14020202 16023088 19506368 20028860 24382960 28040404 32046176 35050505 40057720 48765920 56080808 64092352 70101010 80115440 97531840 112161616 140202020 160230880 224323232 280404040 320461760 448646464 560808080 1121616160 2243232320