Search a number
-
+
2272994784 = 2535292309
BaseRepresentation
bin1000011101111011…
…0010010111100000
312212102001002200000
42013132302113200
514123341313114
61013314100000
7110220064644
oct20736622740
95772032600
102272994784
11a67056695
1253527a600
132a2bab338
14177c3cc24
15d4839e09
hex877b25e0

2272994784 has 72 divisors (see below), whose sum is σ = 6703252920. Its totient is φ = 757662336.

The previous prime is 2272994761. The next prime is 2272994813. The reversal of 2272994784 is 4874992722.

It is a happy number.

2272994784 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2272994784.

It is a congruent number.

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, 138379 + ... + 153930.

It is an arithmetic number, because the mean of its divisors is an integer number (93100735).

Almost surely, 22272994784 is an apocalyptic number.

2272994784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2272994784 is an abundant number, since it is smaller than the sum of its proper divisors (4430258136).

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

2272994784 is an equidigital number, since it uses as much as digits as its factorization.

2272994784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292334 (or 292314 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2272994784 is about 47675.9350616220. The cubic root of 2272994784 is about 1314.8195300437.

It can be divided in two parts, 2272994 and 784, that added together give a triangular number (2273778 = T2132).

The spelling of 2272994784 in words is "two billion, two hundred seventy-two million, nine hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 292309 584618 876927 1169236 1753854 2338472 2630781 3507708 4676944 5261562 7015416 7892343 9353888 10523124 14030832 15784686 21046248 23677029 28061664 31569372 42092496 47354058 63138744 71031087 84184992 94708116 126277488 142062174 189416232 252554976 284124348 378832464 568248696 757664928 1136497392 2272994784