Search a number
-
+
2229930160 = 24531787931
BaseRepresentation
bin1000010011101010…
…0000100010110000
312202102000012002221
42010322200202300
514031330231120
61005135050424
7106155044053
oct20472404260
95672005087
102229930160
11a44812597
12522970a14
13296cb0903
1417222ca9a
15d0b800aa
hex84ea08b0

2229930160 has 40 divisors (see below), whose sum is σ = 5201001936. Its totient is φ = 889148160.

The previous prime is 2229930149. The next prime is 2229930167. The reversal of 2229930160 is 610399222.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2229930167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18606 + ... + 69325.

Almost surely, 22229930160 is an apocalyptic number.

2229930160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2229930160 is an abundant number, since it is smaller than the sum of its proper divisors (2971071776).

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

2229930160 is a wasteful number, since it uses less digits than its factorization.

2229930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88261 (or 88255 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2229930160 is about 47222.1363345624. The cubic root of 2229930160 is about 1306.4629171179.

The spelling of 2229930160 in words is "two billion, two hundred twenty-nine million, nine hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 3170 5072 6340 12680 25360 87931 175862 351724 439655 703448 879310 1406896 1758620 3517240 7034480 27874127 55748254 111496508 139370635 222993016 278741270 445986032 557482540 1114965080 2229930160