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10221770724 = 22311211362299
BaseRepresentation
bin10011000010100001…
…11101011111100100
3222101101001202100220
421201100331133210
5131413233130344
64410144004340
7511206421554
oct114120753744
928341052326
1010221770724
114375a17700
121b933006b0
13c6b927b59
146cd7b1164
153ec5b7c19
hex26143d7e4

10221770724 has 72 divisors (see below), whose sum is σ = 26448592800. Its totient is φ = 3070045440.

The previous prime is 10221770723. The next prime is 10221770743. The reversal of 10221770724 is 42707712201.

10221770724 is digitally balanced in base 2, 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 (33).

It is not an unprimeable number, because it can be changed into a prime (10221770723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132927 + ... + 195225.

Almost surely, 210221770724 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 10221770724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224296400).

10221770724 is an abundant number, since it is smaller than the sum of its proper divisors (16226822076).

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

10221770724 is a wasteful number, since it uses less digits than its factorization.

10221770724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62441 (or 62428 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 10221770724 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 121 132 226 242 339 363 452 484 678 726 1243 1356 1452 2486 3729 4972 7458 13673 14916 27346 41019 54692 62299 82038 124598 164076 186897 249196 373794 685289 747588 1370578 2055867 2741156 4111734 7039787 7538179 8223468 14079574 15076358 21119361 22614537 28159148 30152716 42238722 45229074 77437657 84477444 90458148 154875314 232312971 309750628 464625942 851814227 929251884 1703628454 2555442681 3407256908 5110885362 10221770724