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2123522320 = 245314319913
BaseRepresentation
bin111111010010010…
…0110000100010000
312110222210002222211
41332210212010100
513322110203240
6550414241504
7103423433113
oct17644460420
95428702884
102123522320
1199a744827
124b31b6294
1327ac355aa
1416205057a
15c6661bea
hex7e926110

2123522320 has 80 divisors (see below), whose sum is σ = 5215237632. Its totient is φ = 802851840.

The previous prime is 2123522293. The next prime is 2123522333. The reversal of 2123522320 is 232253212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2123522291 and 2123522300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96684 + ... + 116596.

Almost surely, 22123522320 is an apocalyptic number.

2123522320 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 2123522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607618816).

2123522320 is an abundant number, since it is smaller than the sum of its proper divisors (3091715312).

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

2123522320 is a wasteful number, since it uses less digits than its factorization.

2123522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2123522320 is about 46081.6918092207. The cubic root of 2123522320 is about 1285.3427237663.

Adding to 2123522320 its reverse (232253212), we get a palindrome (2355775532).

The spelling of 2123522320 in words is "two billion, one hundred twenty-three million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 80 86 124 155 172 215 248 310 344 430 496 620 688 860 1240 1333 1720 2480 2666 3440 5332 6665 10664 13330 19913 21328 26660 39826 53320 79652 99565 106640 159304 199130 318608 398260 617303 796520 856259 1234606 1593040 1712518 2469212 3086515 3425036 4281295 4938424 6173030 6850072 8562590 9876848 12346060 13700144 17125180 24692120 26544029 34250360 49384240 53088058 68500720 106176116 132720145 212352232 265440290 424704464 530880580 1061761160 2123522320