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330661422 = 232713296961
BaseRepresentation
bin10011101101010…
…111111000101110
3212001012100012100
4103231113320232
51134122131142
652451115530
711123401320
oct2355277056
9761170170
10330661422
1115a716903
12928a2ba6
1353674b60
1431cb5610
151e068b4c
hex13b57e2e

330661422 has 96 divisors (see below), whose sum is σ = 912300480. Its totient is φ = 84188160.

The previous prime is 330661421. The next prime is 330661439. The reversal of 330661422 is 224166033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330661421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44022 + ... + 50982.

It is an arithmetic number, because the mean of its divisors is an integer number (9503130).

Almost surely, 2330661422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330661422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456150240).

330661422 is an abundant number, since it is smaller than the sum of its proper divisors (581639058).

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

330661422 is a wasteful number, since it uses less digits than its factorization.

330661422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330661422 is about 18184.0980529692. The cubic root of 330661422 is about 691.5037023594.

It can be divided in two parts, 3 and 30661422, that multiplied together give a triangular number (91984266 = T13563).

The spelling of 330661422 in words is "three hundred thirty million, six hundred sixty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1638 1827 2262 2639 3393 3654 5278 6786 6961 7917 13922 15834 20883 23751 41766 47502 48727 62649 90493 97454 125298 146181 180986 201869 271479 292362 403738 438543 542958 605607 633451 814437 877086 1211214 1266902 1413083 1628874 1816821 1900353 2624297 2826166 3633642 3800706 4239249 5248594 5701059 7872891 8478498 11402118 12717747 15745782 18370079 23618673 25435494 36740158 47237346 55110237 110220474 165330711 330661422