Search a number
-
+
332245116 = 223271737621
BaseRepresentation
bin10011110011011…
…010100001111100
3212011011210121200
4103303122201330
51140023320431
652545055500
711143015440
oct2363324174
9764153550
10332245116
111605a8745
1293327590
1353aaa958
14321a8820
151e27cee6
hex13cda87c

332245116 has 72 divisors (see below), whose sum is σ = 965493984. Its totient is φ = 94366080.

The previous prime is 332245103. The next prime is 332245129. The reversal of 332245116 is 611542233.

It is an interprime number because it is at equal distance from previous prime (332245103) and next prime (332245129).

It is a super-2 number, since 2×3322451162 = 220773634211706912, 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 332245116.

It is a congruent number.

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, 39786 + ... + 47406.

Almost surely, 2332245116 is an apocalyptic number.

332245116 is a gapful number since it is divisible by the number (36) 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 332245116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482746992).

332245116 is an abundant number, since it is smaller than the sum of its proper divisors (633248868).

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

332245116 is a wasteful number, since it uses less digits than its factorization.

332245116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7806 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 332245116 is about 18227.5921613361. The cubic root of 332245116 is about 692.6059240110.

Adding to 332245116 its reverse (611542233), we get a palindrome (943787349).

The spelling of 332245116 in words is "three hundred thirty-two million, two hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 3114 3633 4844 6228 7266 7621 10899 14532 15242 21798 22863 30484 43596 45726 53347 68589 91452 106694 137178 160041 213388 274356 320082 480123 640164 960246 1318433 1920492 2636866 3955299 5273732 7910598 9229031 11865897 15821196 18458062 23731794 27687093 36916124 47463588 55374186 83061279 110748372 166122558 332245116