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2223320320 = 28513532521
BaseRepresentation
bin1000010010000101…
…0010110100000000
312201221120101010001
42010201102310000
514023132222240
61004341245344
7106044624304
oct20441226400
95657511101
102223320320
11a41008511
12520703854
13295808170
141713cbd04
15d02c689a
hex84852d00

2223320320 has 144 divisors (see below), whose sum is σ = 5845733712. Its totient is φ = 805109760.

The previous prime is 2223320311. The next prime is 2223320327. The reversal of 2223320320 is 230233222.

It can be written as a sum of positive squares in 8 ways, for example, as 569108736 + 1654211584 = 23856^2 + 40672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223320327) 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, 880660 + ... + 883180.

It is an arithmetic number, because the mean of its divisors is an integer number (40595373).

Almost surely, 22223320320 is an apocalyptic number.

2223320320 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 2223320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922866856).

2223320320 is an abundant number, since it is smaller than the sum of its proper divisors (3622413392).

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

2223320320 is a wasteful number, since it uses less digits than its factorization.

2223320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2223320320 is about 47152.0977264003. The cubic root of 2223320320 is about 1305.1707903675.

Adding to 2223320320 its reverse (230233222), we get a palindrome (2453553542).

The spelling of 2223320320 in words is "two billion, two hundred twenty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 128 130 160 208 212 256 260 265 320 416 424 520 530 640 689 832 848 1040 1060 1280 1378 1664 1696 2080 2120 2521 2756 3328 3392 3445 4160 4240 5042 5512 6784 6890 8320 8480 10084 11024 12605 13568 13780 16640 16960 20168 22048 25210 27560 32773 33920 40336 44096 50420 55120 65546 67840 80672 88192 100840 110240 131092 133613 161344 163865 176384 201680 220480 262184 267226 322688 327730 403360 440960 524368 534452 645376 655460 668065 806720 881920 1048736 1068904 1310920 1336130 1613440 1736969 2097472 2137808 2621840 2672260 3226880 3473938 4194944 4275616 5243680 5344520 6947876 8389888 8551232 8684845 10487360 10689040 13895752 17102464 17369690 20974720 21378080 27791504 34204928 34739380 41949440 42756160 55583008 69478760 85512320 111166016 138957520 171024640 222332032 277915040 444664064 555830080 1111660160 2223320320