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3222340032 = 26319785193
BaseRepresentation
bin1100000000010001…
…0000000111000000
322022120101211112010
43000010100013000
523044404340112
61251425532520
7142565303232
oct30004200700
98276354463
103222340032
111403a2183a
1275b1a4140
133c47910a2
14227d62252
1513cd6263c
hexc01101c0

3222340032 has 56 divisors (see below), whose sum is σ = 8569153296. Its totient is φ = 1068648448.

The previous prime is 3222340013. The next prime is 3222340081. The reversal of 3222340032 is 2300432223.

It is a super-2 number, since 2×32223400322 = 20766950563659522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3222339990 and 3222340008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4773 + ... + 80420.

Almost surely, 23222340032 is an apocalyptic number.

3222340032 is a gapful number since it is divisible by the number (32) 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 3222340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284576648).

3222340032 is an abundant number, since it is smaller than the sum of its proper divisors (5346813264).

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

3222340032 is a wasteful number, since it uses less digits than its factorization.

3222340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85405 (or 85395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3222340032 is about 56765.6589145233. The cubic root of 3222340032 is about 1477.0338743935.

Adding to 3222340032 its reverse (2300432223), we get a palindrome (5522772255).

The spelling of 3222340032 in words is "three billion, two hundred twenty-two million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 37824 85193 170386 255579 340772 511158 681544 1022316 1363088 2044632 2726176 4089264 5452352 8178528 16357056 16783021 33566042 50349063 67132084 100698126 134264168 201396252 268528336 402792504 537056672 805585008 1074113344 1611170016 3222340032