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2223412320 = 253517272477
BaseRepresentation
bin1000010010000110…
…1001010001100000
312201221202001022110
42010201221101200
514023143143240
61004343235320
7106045456443
oct20441512140
95657661273
102223412320
11a41070648
12520748b40
1329583acbc
1417141365a
15d02e3c80
hex84869460

2223412320 has 96 divisors (see below), whose sum is σ = 7415761248. Its totient is φ = 558030848.

The previous prime is 2223412313. The next prime is 2223412327. The reversal of 2223412320 is 232143222.

It is an interprime number because it is at equal distance from previous prime (2223412313) and next prime (2223412327).

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 (2223412327) 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, 128079 + ... + 144398.

It is an arithmetic number, because the mean of its divisors is an integer number (77247513).

Almost surely, 22223412320 is an apocalyptic number.

2223412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223412320 is an abundant number, since it is smaller than the sum of its proper divisors (5192348928).

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

2223412320 is a wasteful number, since it uses less digits than its factorization.

2223412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272512 (or 272504 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2223412320 is about 47153.0732826610. The cubic root of 2223412320 is about 1305.1887925803.

Adding to 2223412320 its reverse (232143222), we get a palindrome (2455555542).

The spelling of 2223412320 in words is "two billion, two hundred twenty-three million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 272477 544954 817431 1089908 1362385 1634862 2179816 2724770 3269724 4087155 4359632 4632109 5449540 6539448 8174310 8719264 9264218 10899080 13078896 13896327 16348620 18528436 21798160 23160545 26157792 27792654 32697240 37056872 43596320 46321090 55585308 65394480 69481635 74113744 92642180 111170616 130788960 138963270 148227488 185284360 222341232 277926540 370568720 444682464 555853080 741137440 1111706160 2223412320