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10224040340 = 2254346725457
BaseRepresentation
bin10011000010110011…
…00111100110010100
3222101112100001200202
421201121213212110
5131414323242330
64410304400032
7511234623533
oct114131474624
928345301622
1010224040340
114377227918
121b94016018
13c6c240c17
146cdc0231a
153ec8b5445
hex261667994

10224040340 has 48 divisors (see below), whose sum is σ = 22017707712. Its totient is φ = 3985798656.

The previous prime is 10224040319. The next prime is 10224040367. The reversal of 10224040340 is 4304042201.

It is a super-3 number, since 3×102240403403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388892 + ... + 414348.

It is an arithmetic number, because the mean of its divisors is an integer number (458702244).

Almost surely, 210224040340 is an apocalyptic number.

10224040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008853856).

10224040340 is an abundant number, since it is smaller than the sum of its proper divisors (11793667372).

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

10224040340 is a wasteful number, since it uses less digits than its factorization.

10224040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25976 (or 25974 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10224040340 its reverse (4304042201), we get a palindrome (14528082541).

The spelling of 10224040340 in words is "ten billion, two hundred twenty-four million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 467 860 934 1868 2335 4670 9340 20081 25457 40162 50914 80324 100405 101828 127285 200810 254570 401620 509140 1094651 2189302 4378604 5473255 10946510 11888419 21893020 23776838 47553676 59442095 118884190 237768380 511202017 1022404034 2044808068 2556010085 5112020170 10224040340