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450731196 = 223331612207
BaseRepresentation
bin11010110111011…
…001110010111100
31011102010111222000
4122313121302330
51410341344241
6112420422300
714112103056
oct3267316274
91142114860
10450731196
11211476023
12106b47990
13724c4766
1443c0c8d6
1529884eb6
hex1add9cbc

450731196 has 96 divisors (see below), whose sum is σ = 1226588160. Its totient is φ = 142948800.

The previous prime is 450731191. The next prime is 450731209. The reversal of 450731196 is 691137054.

It is a super-2 number, since 2×4507311962 = 406317222095180832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 450731196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450731191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203125 + ... + 205331.

It is an arithmetic number, because the mean of its divisors is an integer number (12776960).

Almost surely, 2450731196 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 450731196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613294080).

450731196 is an abundant number, since it is smaller than the sum of its proper divisors (775856964).

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

450731196 is a wasteful number, since it uses less digits than its factorization.

450731196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 450731196 is about 21230.4308952974. The cubic root of 450731196 is about 766.7242614157.

The spelling of 450731196 in words is "four hundred fifty million, seven hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 61 62 93 108 122 124 183 186 244 279 366 372 549 558 732 837 1098 1116 1647 1674 1891 2196 2207 3294 3348 3782 4414 5673 6588 6621 7564 8828 11346 13242 17019 19863 22692 26484 34038 39726 51057 59589 68076 68417 79452 102114 119178 134627 136834 204228 205251 238356 269254 273668 403881 410502 538508 615753 807762 821004 1211643 1231506 1615524 1847259 2423286 2463012 3634929 3694518 4173437 4846572 7269858 7389036 8346874 12520311 14539716 16693748 25040622 37560933 50081244 75121866 112682799 150243732 225365598 450731196