Search a number
-
+
2274200928 = 25332632177
BaseRepresentation
bin1000011110001101…
…1000110101100000
312212111022101012000
42013203120311200
514124143412203
61013400004000
7110233250256
oct20743306540
95774271160
102274200928
11a677aa8aa
12535760600
132a321132c
141780745d6
15d49c74a3
hex878d8d60

2274200928 has 48 divisors (see below), whose sum is σ = 6633088560. Its totient is φ = 758066688.

The previous prime is 2274200921. The next prime is 2274200933. The reversal of 2274200928 is 8290024722.

It is a happy number.

2274200928 is a `hidden beast` number, since 227 + 420 + 0 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22742009282 = 10343979721832122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2274200892 and 2274200901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274200921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1315225 + ... + 1316952.

It is an arithmetic number, because the mean of its divisors is an integer number (138189345).

Almost surely, 22274200928 is an apocalyptic number.

It is an amenable number.

2274200928 is an abundant number, since it is smaller than the sum of its proper divisors (4358887632).

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

2274200928 is a wasteful number, since it uses less digits than its factorization.

2274200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632196 (or 2632182 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2274200928 is about 47688.5827845618. The cubic root of 2274200928 is about 1315.0520545929.

The spelling of 2274200928 in words is "two billion, two hundred seventy-four million, two hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2632177 5264354 7896531 10528708 15793062 21057416 23689593 31586124 42114832 47379186 63172248 71068779 84229664 94758372 126344496 142137558 189516744 252688992 284275116 379033488 568550232 758066976 1137100464 2274200928