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229545960 = 23357273269
BaseRepresentation
bin11011010111010…
…01011111101000
3120222221010212020
431223221133220
5432230432320
634435544440
75455052130
oct1553513750
9528833766
10229545960
11108633306
1264a5b120
1338730717
14226b3ac0
1515243940
hexdae97e8

229545960 has 64 divisors (see below), whose sum is σ = 787017600. Its totient is φ = 52467456.

The previous prime is 229545959. The next prime is 229545961. The reversal of 229545960 is 69545922.

It is an interprime number because it is at equal distance from previous prime (229545959) and next prime (229545961).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (229545961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135795 + ... + 137474.

It is an arithmetic number, because the mean of its divisors is an integer number (12297150).

Almost surely, 2229545960 is an apocalyptic number.

229545960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229545960 is an abundant number, since it is smaller than the sum of its proper divisors (557471640).

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

229545960 is a wasteful number, since it uses less digits than its factorization.

229545960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273290 (or 273286 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 229545960 is about 15150.7742376421. The cubic root of 229545960 is about 612.2891324657.

The spelling of 229545960 in words is "two hundred twenty-nine million, five hundred forty-five thousand, nine hundred sixty".

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 273269 546538 819807 1093076 1366345 1639614 1912883 2186152 2732690 3279228 3825766 4099035 5465380 5738649 6558456 7651532 8198070 9564415 10930760 11477298 15303064 16396140 19128830 22954596 28693245 32792280 38257660 45909192 57386490 76515320 114772980 229545960