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2233032320 = 2758274219
BaseRepresentation
bin1000010100011001…
…0101111010000000
312202121211210110202
42011012111322000
514033124013240
61005325344332
7106223314211
oct20506257200
95677753422
102233032320
11a46541262
12523a080a8
132978288cc
141727d9408
15d1094315
hex85195e80

2233032320 has 64 divisors (see below), whose sum is σ = 5346064800. Its totient is φ = 891921408.

The previous prime is 2233032313. The next prime is 2233032343. The reversal of 2233032320 is 232303322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2233032292 and 2233032301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527171 + ... + 531389.

Almost surely, 22233032320 is an apocalyptic number.

2233032320 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 2233032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673032400).

2233032320 is an abundant number, since it is smaller than the sum of its proper divisors (3113032480).

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

2233032320 is an equidigital number, since it uses as much as digits as its factorization.

2233032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2233032320 is about 47254.9713786814. The cubic root of 2233032320 is about 1307.0684635985.

Adding to 2233032320 its reverse (232303322), we get a palindrome (2465335642).

The spelling of 2233032320 in words is "two billion, two hundred thirty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 827 1654 3308 4135 4219 6616 8270 8438 13232 16540 16876 21095 26464 33080 33752 42190 52928 66160 67504 84380 105856 132320 135008 168760 264640 270016 337520 529280 540032 675040 1350080 2700160 3489113 6978226 13956452 17445565 27912904 34891130 55825808 69782260 111651616 139564520 223303232 279129040 446606464 558258080 1116516160 2233032320