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10023040224 = 253311600741
BaseRepresentation
bin10010101010110101…
…10111010011100000
3221212112010012101000
421111122313103200
5131011344241344
64334324312000
7503244302421
oct112532672340
927775105330
1010023040224
11428382151a
121b38842600
13c396c6642
146b123d648
153d9e0ea69
hex2556b74e0

10023040224 has 48 divisors (see below), whose sum is σ = 29233869840. Its totient is φ = 3341013120.

The previous prime is 10023040213. The next prime is 10023040229. The reversal of 10023040224 is 42204032001.

10023040224 is a `hidden beast` number, since 10 + 0 + 230 + 402 + 24 = 666.

10023040224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100230402242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10023040197 and 10023040206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023040229) 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 7 ways as a sum of consecutive naturals, for example, 5799507 + ... + 5801234.

It is an arithmetic number, because the mean of its divisors is an integer number (609038955).

Almost surely, 210023040224 is an apocalyptic number.

It is an amenable number.

10023040224 is an abundant number, since it is smaller than the sum of its proper divisors (19210829616).

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

10023040224 is a wasteful number, since it uses less digits than its factorization.

10023040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600760 (or 11600746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10023040224 its reverse (42204032001), we get a palindrome (52227072225).

The spelling of 10023040224 in words is "ten billion, twenty-three million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11600741 23201482 34802223 46402964 69604446 92805928 104406669 139208892 185611856 208813338 278417784 313220007 371223712 417626676 556835568 626440014 835253352 1113671136 1252880028 1670506704 2505760056 3341013408 5011520112 10023040224