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229413450 = 2352741732
BaseRepresentation
bin11011010110010…
…01001001001010
3120222200102002110
431223021021022
5432212212300
634433043150
75453660610
oct1553111112
9528612073
10229413450
111085527a2
12649b64b6
13386b5306
142267b6b0
1515219550
hexdac924a

229413450 has 144 divisors (see below), whose sum is σ = 675331776. Its totient is φ = 50457600.

The previous prime is 229413449. The next prime is 229413451. The reversal of 229413450 is 54314922.

It is an interprime number because it is at equal distance from previous prime (229413449) and next prime (229413451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (229413451) 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 71 ways as a sum of consecutive naturals, for example, 3142614 + ... + 3142686.

It is an arithmetic number, because the mean of its divisors is an integer number (4689804).

Almost surely, 2229413450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229413450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337665888).

229413450 is an abundant number, since it is smaller than the sum of its proper divisors (445918326).

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

229413450 is a wasteful number, since it uses less digits than its factorization.

229413450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 229413450 is about 15146.4005625099. The cubic root of 229413450 is about 612.1712910682.

The spelling of 229413450 in words is "two hundred twenty-nine million, four hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 73 75 82 105 123 146 150 175 205 210 219 246 287 350 365 410 438 511 525 574 615 730 861 1022 1025 1050 1095 1230 1435 1533 1722 1825 2050 2190 2555 2870 2993 3066 3075 3650 4305 5110 5329 5475 5986 6150 7175 7665 8610 8979 10658 10950 12775 14350 14965 15330 15987 17958 20951 21525 25550 26645 29930 31974 37303 38325 41902 43050 44895 53290 62853 74606 74825 76650 79935 89790 104755 111909 125706 133225 149650 159870 186515 209510 218489 223818 224475 266450 314265 373030 399675 436978 448950 523775 559545 628530 655467 799350 932575 1047550 1092445 1119090 1310934 1529423 1571325 1865150 2184890 2797725 3058846 3142650 3277335 4588269 5462225 5595450 6554670 7647115 9176538 10924450 15294230 16386675 22941345 32773350 38235575 45882690 76471150 114706725 229413450