Search a number
-
+
10023452244 = 2234132379737
BaseRepresentation
bin10010101010111000…
…11011111001010100
3221212112220010120000
421111130123321110
5131012000432434
64334341211300
7503250636561
oct112534337124
927775803500
1010023452244
114283a83033
121b38a00b30
13c3980c040
146b1309868
153d9e91b99
hex25571be54

10023452244 has 60 divisors (see below), whose sum is σ = 28218933204. Its totient is φ = 3084137856.

The previous prime is 10023452237. The next prime is 10023452249. The reversal of 10023452244 is 44225432001.

10023452244 is a `hidden beast` number, since 100 + 2 + 34 + 522 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4656424644 + 5367027600 = 68238^2 + 73260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023452249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1185657 + ... + 1194080.

Almost surely, 210023452244 is an apocalyptic number.

It is an amenable number.

10023452244 is an abundant number, since it is smaller than the sum of its proper divisors (18195480960).

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

10023452244 is a wasteful number, since it uses less digits than its factorization.

10023452244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379766 (or 2379755 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10023452244 its reverse (44225432001), we get a palindrome (54248884245).

The spelling of 10023452244 in words is "ten billion, twenty-three million, four hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 2379737 4759474 7139211 9518948 14278422 21417633 28556844 30936581 42835266 61873162 64252899 85670532 92809743 123746324 128505798 185619486 192758697 257011596 278429229 371238972 385517394 556858458 771034788 835287687 1113716916 1670575374 2505863061 3341150748 5011726122 10023452244