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10202140224 = 263217712049
BaseRepresentation
bin10011000000001100…
…00100111001000000
3222100000010102101100
421200012010321000
5131343221441344
64404203134400
7510550522023
oct114006047100
928300112340
1010202140224
114365929a51
121b88814400
13c67843983
146cad411ba
153ea9db569
hex260184e40

10202140224 has 42 divisors (see below), whose sum is σ = 29242594550. Its totient is φ = 3400713216.

The previous prime is 10202140127. The next prime is 10202140237. The reversal of 10202140224 is 42204120201.

It can be written as a sum of positive squares in only one way, i.e., 9886722624 + 315417600 = 99432^2 + 17760^2 .

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 = 10202140197 and 10202140206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8855449 + ... + 8856600.

Almost surely, 210202140224 is an apocalyptic number.

It is an amenable number.

10202140224 is an abundant number, since it is smaller than the sum of its proper divisors (19040454326).

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

10202140224 is a wasteful number, since it uses less digits than its factorization.

10202140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17712067 (or 17712054 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10202140224 its reverse (42204120201), we get a palindrome (52406260425).

It can be divided in two parts, 10202 and 140224, that added together give a triangular number (150426 = T548).

The spelling of 10202140224 in words is "ten billion, two hundred two million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17712049 35424098 53136147 70848196 106272294 141696392 159408441 212544588 283392784 318816882 425089176 566785568 637633764 850178352 1133571136 1275267528 1700356704 2550535056 3400713408 5101070112 10202140224