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10230224040 = 2332528417289
BaseRepresentation
bin10011000011100010…
…01101010010101000
3222101221222020010200
421201301031102220
5131422414132130
64411045112200
7511341320031
oct114161152250
928357866120
1010230224040
11437a770813
121b960b8660
13c705c770a
146d0971a88
153ed1d7760
hex261c4d4a8

10230224040 has 48 divisors (see below), whose sum is σ = 33248229300. Its totient is φ = 2728059648.

The previous prime is 10230224033. The next prime is 10230224057. The reversal of 10230224040 is 4042203201.

10230224040 is a `hidden beast` number, since 10 + 230 + 22 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10219996836 + 10227204 = 101094^2 + 3198^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14208285 + ... + 14209004.

Almost surely, 210230224040 is an apocalyptic number.

10230224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230224040 is an abundant number, since it is smaller than the sum of its proper divisors (23018005260).

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

10230224040 is a wasteful number, since it uses less digits than its factorization.

10230224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28417306 (or 28417299 counting only the distinct ones).

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

Adding to 10230224040 its reverse (4042203201), we get a palindrome (14272427241).

It can be divided in two parts, 10230 and 224040, that added together give a triangular number (234270 = T684).

The spelling of 10230224040 in words is "ten billion, two hundred thirty million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28417289 56834578 85251867 113669156 142086445 170503734 227338312 255755601 284172890 341007468 426259335 511511202 568345780 682014936 852518670 1023022404 1136691560 1278778005 1705037340 2046044808 2557556010 3410074680 5115112020 10230224040