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3223513332 = 22321313152579
BaseRepresentation
bin1100000000100010…
…1110100011110100
322022122121102222200
43000020232203310
523100204411312
61251511024500
7142611261024
oct30010564364
98278542880
103223513332
111404653306
1275b66b130
133c4ab2150
14228189a84
1513cee50dc
hexc022e8f4

3223513332 has 72 divisors (see below), whose sum is σ = 8842273440. Its totient is φ = 984260160.

The previous prime is 3223513309. The next prime is 3223513399. The reversal of 3223513332 is 2333153223.

3223513332 is a `hidden beast` number, since 322 + 3 + 5 + 1 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3223513296 and 3223513305.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 35019 + ... + 87597.

Almost surely, 23223513332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223513332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421136720).

3223513332 is an abundant number, since it is smaller than the sum of its proper divisors (5618760108).

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

3223513332 is a wasteful number, since it uses less digits than its factorization.

3223513332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52733 (or 52728 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 3223513332 is about 56775.9925672815. The cubic root of 3223513332 is about 1477.2131223451.

Adding to 3223513332 its reverse (2333153223), we get a palindrome (5556666555).

The spelling of 3223513332 in words is "three billion, two hundred twenty-three million, five hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 234 262 393 468 524 786 1179 1572 1703 2358 3406 4716 5109 6812 10218 15327 20436 30654 52579 61308 105158 157737 210316 315474 473211 630948 683527 946422 1367054 1892844 2050581 2734108 4101162 6151743 6887849 8202324 12303486 13775698 20663547 24606972 27551396 41327094 61990641 82654188 89542037 123981282 179084074 247962564 268626111 358168148 537252222 805878333 1074504444 1611756666 3223513332