Search a number
-
+
2274427312 = 24232927349
BaseRepresentation
bin1000011110010001…
…0000000110110000
312212111201212201121
42013210100012300
514124223133222
61013404512024
7110235212263
oct20744200660
95774655647
102274427312
11a679449a3
1253584b614
132a32903a1
141780d2cda
15d4a1e5c7
hex879101b0

2274427312 has 60 divisors (see below), whose sum is σ = 4762976400. Its totient is φ = 1050117376.

The previous prime is 2274427291. The next prime is 2274427349. The reversal of 2274427312 is 2137244722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305814 + ... + 313162.

It is an arithmetic number, because the mean of its divisors is an integer number (79382940).

Almost surely, 22274427312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381488200).

2274427312 is an abundant number, since it is smaller than the sum of its proper divisors (2488549088).

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

2274427312 is a wasteful number, since it uses less digits than its factorization.

2274427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7403 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 2274427312 is about 47690.9562915234. The cubic root of 2274427312 is about 1315.0956885074.

The spelling of 2274427312 in words is "two billion, two hundred seventy-four million, four hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 841 1334 1682 2668 3364 5336 6728 7349 10672 13456 14698 19343 29396 38686 58792 77372 117584 154744 169027 213121 309488 338054 426242 676108 852484 1352216 1704968 2704432 3409936 4901783 6180509 9803566 12361018 19607132 24722036 39214264 49444072 78428528 98888144 142151707 284303414 568606828 1137213656 2274427312