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2272946648 = 237178272887
BaseRepresentation
bin1000011101111010…
…0110100111011000
312212101221122122012
42013132212213120
514123333243043
61013313045052
7110216504420
oct20736464730
95771848565
102272946648
11a67023505
12535256788
132a2b9245b
14177c29480
15d482aa18
hex877a69d8

2272946648 has 64 divisors (see below), whose sum is σ = 5165130240. Its totient is φ = 915393024.

The previous prime is 2272946633. The next prime is 2272946693. The reversal of 2272946648 is 8466492722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2272946596 and 2272946605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785861 + ... + 788747.

It is an arithmetic number, because the mean of its divisors is an integer number (80705160).

Almost surely, 22272946648 is an apocalyptic number.

2272946648 is a gapful number since it is divisible by the number (28) 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 2272946648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582565120).

2272946648 is an abundant number, since it is smaller than the sum of its proper divisors (2892183592).

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

2272946648 is a wasteful number, since it uses less digits than its factorization.

2272946648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3740 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 2272946648 is about 47675.4302340314. The cubic root of 2272946648 is about 1314.8102485149.

The spelling of 2272946648 in words is "two billion, two hundred seventy-two million, nine hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 827 952 1654 2887 3308 5774 5789 6616 11548 11578 14059 20209 23096 23156 28118 40418 46312 49079 56236 80836 98158 98413 112472 161672 196316 196826 343553 392632 393652 687106 787304 1374212 2387549 2748424 4775098 9550196 16712843 19100392 33425686 40588333 66851372 81176666 133702744 162353332 284118331 324706664 568236662 1136473324 2272946648