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3220330032 = 2432531313221
BaseRepresentation
bin1011111111110010…
…0101011000110000
322022102121201022200
42333330211120300
523043401030112
61251314503200
7142542232203
oct27774453060
98272551280
103220330032
111402879687
1275a594b00
133c423923a
1422799b93a
1513cab6cdc
hexbff25630

3220330032 has 120 divisors (see below), whose sum is σ = 9255465648. Its totient is φ = 1044825600.

The previous prime is 3220330013. The next prime is 3220330081. The reversal of 3220330032 is 2300330223.

It is a super-2 number, since 2×32203300322 = 20741051030002242048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3220329987 and 3220330014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998182 + ... + 1001402.

Almost surely, 23220330032 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 3220330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627732824).

3220330032 is an abundant number, since it is smaller than the sum of its proper divisors (6035135616).

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

3220330032 is a wasteful number, since it uses less digits than its factorization.

3220330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3220330032 is about 56747.9517868266. The cubic root of 3220330032 is about 1476.7267005630.

Adding to 3220330032 its reverse (2300330223), we get a palindrome (5520660255).

The spelling of 3220330032 in words is "three billion, two hundred twenty million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 131 144 159 212 262 318 393 424 477 524 636 786 848 954 1048 1179 1272 1572 1908 2096 2358 2544 3144 3221 3816 4716 6288 6442 6943 7632 9432 9663 12884 13886 18864 19326 20829 25768 27772 28989 38652 41658 51536 55544 57978 62487 77304 83316 111088 115956 124974 154608 166632 170713 231912 249948 333264 341426 421951 463824 499896 512139 682852 843902 999792 1024278 1265853 1365704 1536417 1687804 2048556 2531706 2731408 3072834 3375608 3797559 4097112 5063412 6145668 6751216 7595118 8194224 10126824 12291336 15190236 20253648 22363403 24582672 30380472 44726806 60760944 67090209 89453612 134180418 178907224 201270627 268360836 357814448 402541254 536721672 805082508 1073443344 1610165016 3220330032