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330442224 = 243719191271
BaseRepresentation
bin10011101100100…
…010010111110000
3212000210012111220
4103230202113300
51134043122344
652442305040
711121466260
oct2354422760
9760705456
10330442224
1115a587152
12927b8180
13535c9158
1431c597a0
151e023c19
hex13b225f0

330442224 has 160 divisors (see below), whose sum is σ = 1036124160. Its totient is φ = 88646400.

The previous prime is 330442207. The next prime is 330442249. The reversal of 330442224 is 422244033.

330442224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 330442194 and 330442203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219209 + ... + 1219479.

It is an arithmetic number, because the mean of its divisors is an integer number (6475776).

Almost surely, 2330442224 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 330442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518062080).

330442224 is an abundant number, since it is smaller than the sum of its proper divisors (705681936).

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

330442224 is a wasteful number, since it uses less digits than its factorization.

330442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 330442224 is about 18178.0698645373. The cubic root of 330442224 is about 691.3508675416.

Adding to 330442224 its reverse (422244033), we get a palindrome (752686257).

The spelling of 330442224 in words is "three hundred thirty million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 191 228 266 271 304 336 382 399 456 532 542 573 764 798 813 912 1064 1084 1146 1337 1528 1596 1626 1897 2128 2168 2292 2674 3056 3192 3252 3629 3794 4011 4336 4584 5149 5348 5691 6384 6504 7258 7588 8022 9168 10298 10696 10887 11382 13008 14516 15176 15447 16044 20596 21392 21774 22764 25403 29032 30352 30894 32088 36043 41192 43548 45528 50806 51761 58064 61788 64176 72086 76209 82384 87096 91056 101612 103522 108129 123576 144172 152418 155283 174192 203224 207044 216258 247152 288344 304836 310566 362327 406448 414088 432516 576688 609672 621132 724654 828176 865032 983459 1086981 1219344 1242264 1449308 1730064 1966918 2173962 2484528 2898616 2950377 3933836 4347924 5797232 5900754 6884213 7867672 8695848 11801508 13768426 15735344 17391696 20652639 23603016 27536852 41305278 47206032 55073704 82610556 110147408 165221112 330442224