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10221033032 = 237375983609
BaseRepresentation
bin10011000010011100…
…01001011001001000
3222101022200021102222
421201032021121020
5131413041024112
64410120113212
7511200230060
oct114116113110
928338607388
1010221033032
114375563441
121b93005808
13c6b72a152
146cd65c3a0
153ec4be372
hex261389648

10221033032 has 64 divisors (see below), whose sum is σ = 22875696000. Its totient is φ = 4189764096.

The previous prime is 10221033007. The next prime is 10221033037. The reversal of 10221033032 is 23033012201.

It is a super-2 number, since 2×102210330322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221033032.

It is not an unprimeable number, because it can be changed into a prime (10221033037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80444 + ... + 164052.

It is an arithmetic number, because the mean of its divisors is an integer number (357432750).

Almost surely, 210221033032 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 10221033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437848000).

10221033032 is an abundant number, since it is smaller than the sum of its proper divisors (12654662968).

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

10221033032 is a wasteful number, since it uses less digits than its factorization.

10221033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83718 (or 83714 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10221033032 its reverse (23033012201), we get a palindrome (33254045233).

The spelling of 10221033032 in words is "ten billion, two hundred twenty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 59 74 118 148 236 259 296 413 472 518 826 1036 1652 2072 2183 3304 4366 8732 15281 17464 30562 61124 83609 122248 167218 334436 585263 668872 1170526 2341052 3093533 4682104 4932931 6187066 9865862 12374132 19731724 21654731 24748264 34530517 39463448 43309462 69061034 86618924 138122068 173237848 182518447 276244136 365036894 730073788 1277629129 1460147576 2555258258 5110516516 10221033032