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229494960 = 24325318743
BaseRepresentation
bin11011010110111…
…01000010110000
3120222211112220100
431223131002300
5432222314320
634434512400
75454450342
oct1553350260
9528745810
10229494960
111085a8a62
1264a35700
1338713446
142269d292
1515233790
hexdadd0b0

229494960 has 60 divisors (see below), whose sum is σ = 770722992. Its totient is φ = 61198464.

The previous prime is 229494931. The next prime is 229494973. The reversal of 229494960 is 69494922.

It is a happy number.

229494960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158652 + ... + 160091.

Almost surely, 2229494960 is an apocalyptic number.

229494960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229494960 is an abundant number, since it is smaller than the sum of its proper divisors (541228032).

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

229494960 is a wasteful number, since it uses less digits than its factorization.

229494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318762 (or 318753 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 229494960 is about 15149.0910618426. The cubic root of 229494960 is about 612.2437834374.

The spelling of 229494960 in words is "two hundred twenty-nine million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 318743 637486 956229 1274972 1593715 1912458 2549944 2868687 3187430 3824916 4781145 5099888 5737374 6374860 7649832 9562290 11474748 12749720 14343435 15299664 19124580 22949496 25499440 28686870 38249160 45898992 57373740 76498320 114747480 229494960