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2220132320 = 25572697369
BaseRepresentation
bin1000010001010100…
…1000011111100000
312201201120101222222
42010111020133200
514021323213240
61004145050212
7106005545660
oct20425103740
95651511888
102220132320
11a3a2302aa
1251b626968
13294c60083
14170bdc1a0
15ced96eb5
hex845487e0

2220132320 has 96 divisors (see below), whose sum is σ = 6017457600. Its totient is φ = 758255616.

The previous prime is 2220132307. The next prime is 2220132331. The reversal of 2220132320 is 232310222.

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, 297596 + ... + 304964.

It is an arithmetic number, because the mean of its divisors is an integer number (62681850).

Almost surely, 22220132320 is an apocalyptic number.

2220132320 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 2220132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008728800).

2220132320 is an abundant number, since it is smaller than the sum of its proper divisors (3797325280).

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

2220132320 is a wasteful number, since it uses less digits than its factorization.

2220132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2220132320 is about 47118.2801044351. The cubic root of 2220132320 is about 1304.5466675514.

Adding to 2220132320 its reverse (232310222), we get a palindrome (2452442542).

The spelling of 2220132320 in words is "two billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 269 280 538 560 1076 1120 1345 1883 2152 2690 3766 4304 5380 7369 7532 8608 9415 10760 14738 15064 18830 21520 29476 30128 36845 37660 43040 51583 58952 60256 73690 75320 103166 117904 147380 150640 206332 235808 257915 294760 301280 412664 515830 589520 825328 1031660 1179040 1650656 1982261 2063320 3964522 4126640 7929044 8253280 9911305 13875827 15858088 19822610 27751654 31716176 39645220 55503308 63432352 69379135 79290440 111006616 138758270 158580880 222013232 277516540 317161760 444026464 555033080 1110066160 2220132320