Search a number
-
+
2254505968 = 241113275797
BaseRepresentation
bin1000011001100001…
…0000011111110000
312211010020202210001
42012120100133300
514104123142333
61011413515344
7106603661461
oct20630203760
95733222701
102254505968
11a57678780
1252b042b54
1329c106a00
141755c8d68
15d2dd6b7d
hex866107f0

2254505968 has 60 divisors (see below), whose sum is σ = 5160024648. Its totient is φ = 945934080.

The previous prime is 2254505963. The next prime is 2254505989. The reversal of 2254505968 is 8695054522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254505963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8155 + ... + 67642.

Almost surely, 22254505968 is an apocalyptic number.

It is an amenable number.

2254505968 is an abundant number, since it is smaller than the sum of its proper divisors (2905518680).

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

2254505968 is a wasteful number, since it uses less digits than its factorization.

2254505968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75842 (or 75823 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 2254505968 is about 47481.6382194212. The cubic root of 2254505968 is about 1311.2448528471.

The spelling of 2254505968 in words is "two billion, two hundred fifty-four million, five hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 7436 14872 29744 75797 151594 303188 606376 833767 985361 1212752 1667534 1970722 3335068 3941444 6670136 7882888 10838971 12809693 13340272 15765776 21677942 25619386 43355884 51238772 86711768 102477544 140906623 173423536 204955088 281813246 563626492 1127252984 2254505968