Search a number
-
+
332448224 = 2553211929
BaseRepresentation
bin10011110100001…
…100000111100000
3212011120010020012
4103310030013200
51140101320344
652553304052
711144522543
oct2364140740
9764503205
10332448224
111607272a9
1293405028
1353b4c234
143221c85a
151e2bd29e
hex13d0c1e0

332448224 has 48 divisors (see below), whose sum is σ = 670738320. Its totient is φ = 162140160.

The previous prime is 332448217. The next prime is 332448239. The reversal of 332448224 is 422844233.

It is a super-2 number, since 2×3324482242 = 221043643281508352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

Together with 338290096 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357392 + ... + 358320.

It is an arithmetic number, because the mean of its divisors is an integer number (13973715).

Almost surely, 2332448224 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 332448224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335369160).

332448224 is an abundant number, since it is smaller than the sum of its proper divisors (338290096).

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

332448224 is a wasteful number, since it uses less digits than its factorization.

332448224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 332448224 is about 18233.1627536201. The cubic root of 332448224 is about 692.7470298205.

The spelling of 332448224 in words is "three hundred thirty-two million, four hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 211 212 422 424 844 848 929 1688 1696 1858 3376 3716 6752 7432 11183 14864 22366 29728 44732 49237 89464 98474 178928 196019 196948 357856 392038 393896 784076 787792 1568152 1575584 3136304 6272608 10389007 20778014 41556028 83112056 166224112 332448224