Search a number
-
+
10227651056 = 2471927717351
BaseRepresentation
bin10011000011001110…
…11001000111110000
3222101210010111122222
421201213121013300
5131421234313211
64410514020212
7511310412440
oct114147310760
928353114588
1010227651056
114379273687
121b95277668
13c6cc0653c
146d04a2120
153ecd7a1db
hex2619d91f0

10227651056 has 80 divisors (see below), whose sum is σ = 23926325760. Its totient is φ = 4137350400.

The previous prime is 10227651047. The next prime is 10227651073. The reversal of 10227651056 is 65015672201.

It is a super-2 number, since 2×102276510562 (a number of 21 digits) contains 22 as substring.

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, 580781 + ... + 598131.

It is an arithmetic number, because the mean of its divisors is an integer number (299079072).

Almost surely, 210227651056 is an apocalyptic number.

10227651056 is a gapful number since it is divisible by the number (16) 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 10227651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963162880).

10227651056 is an abundant number, since it is smaller than the sum of its proper divisors (13698674704).

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

10227651056 is a wasteful number, since it uses less digits than its factorization.

10227651056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17662 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 10227651056 in words is "ten billion, two hundred twenty-seven million, six hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 277 304 532 554 1064 1108 1939 2128 2216 3878 4432 5263 7756 10526 15512 17351 21052 31024 34702 36841 42104 69404 73682 84208 121457 138808 147364 242914 277616 294728 329669 485828 589456 659338 971656 1318676 1943312 2307683 2637352 4615366 4806227 5274704 9230732 9612454 18461464 19224908 33643589 36922928 38449816 67287178 76899632 91318313 134574356 182636626 269148712 365273252 538297424 639228191 730546504 1278456382 1461093008 2556912764 5113825528 10227651056