Search a number
-
+
229295640 = 23357272971
BaseRepresentation
bin11011010101011…
…00011000011000
3120222110102111010
431222230120120
5432144430030
634430333520
75452660260
oct1552543030
9528412433
10229295640
11108482232
126495a2a0
13386737c2
142264a7a0
15151e46b0
hexdaac618

229295640 has 64 divisors (see below), whose sum is σ = 786159360. Its totient is φ = 52410240.

The previous prime is 229295621. The next prime is 229295659. The reversal of 229295640 is 46592922.

It is an interprime number because it is at equal distance from previous prime (229295621) and next prime (229295659).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 135646 + ... + 137325.

It is an arithmetic number, because the mean of its divisors is an integer number (12283740).

Almost surely, 2229295640 is an apocalyptic number.

229295640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229295640 is an abundant number, since it is smaller than the sum of its proper divisors (556863720).

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

229295640 is a wasteful number, since it uses less digits than its factorization.

229295640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272992 (or 272988 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 229295640 is about 15142.5110203031. The cubic root of 229295640 is about 612.0664842976.

The spelling of 229295640 in words is "two hundred twenty-nine million, two hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 272971 545942 818913 1091884 1364855 1637826 1910797 2183768 2729710 3275652 3821594 4094565 5459420 5732391 6551304 7643188 8189130 9553985 10918840 11464782 15286376 16378260 19107970 22929564 28661955 32756520 38215940 45859128 57323910 76431880 114647820 229295640