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3223420416 = 2932699527
BaseRepresentation
bin1100000000100001…
…0111111000000000
322022122102201112100
43000020113320000
523100143423131
61251505030400
7142610423106
oct30010277000
98278381470
103223420416
11140459a517
1275b625400
133c4a7ba78
14228163c76
1513cec77e6
hexc0217e00

3223420416 has 60 divisors (see below), whose sum is σ = 9303022872. Its totient is φ = 1074471936.

The previous prime is 3223420397. The next prime is 3223420463. The reversal of 3223420416 is 6140243223.

3223420416 is a `hidden beast` number, since 3 + 223 + 4 + 20 + 416 = 666.

It is a super-2 number, since 2×32234204162 = 20780878356571226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3223420416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345156 + ... + 354371.

Almost surely, 23223420416 is an apocalyptic number.

3223420416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3223420416 is an abundant number, since it is smaller than the sum of its proper divisors (6079602456).

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

3223420416 is an equidigital number, since it uses as much as digits as its factorization.

3223420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699551 (or 699532 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3223420416 is about 56775.1742929953. The cubic root of 3223420416 is about 1477.1989289233.

Adding to 3223420416 its reverse (6140243223), we get a palindrome (9363663639).

It can be divided in two parts, 32234 and 20416, that added together give a triangular number (52650 = T324).

The spelling of 3223420416 in words is "three billion, two hundred twenty-three million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 699527 1399054 2098581 2798108 4197162 5596216 6295743 8394324 11192432 12591486 16788648 22384864 25182972 33577296 44769728 50365944 67154592 89539456 100731888 134309184 179078912 201463776 268618368 358157824 402927552 537236736 805855104 1074473472 1611710208 3223420416