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229485120 = 2635298243
BaseRepresentation
bin11011010110110…
…10101001000000
3120222211001101220
431223122221000
5432222010440
634434355040
75454406554
oct1553325100
9528731356
10229485120
111085a1627
1264a2ba80
133870bb17
1422699864
15152308d0
hexdadaa40

229485120 has 112 divisors (see below), whose sum is σ = 753831360. Its totient is φ = 59078656.

The previous prime is 229485107. The next prime is 229485127. The reversal of 229485120 is 21584922.

It is not an unprimeable number, because it can be changed into a prime (229485127) 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 15 ways as a sum of consecutive naturals, for example, 23719 + ... + 31961.

Almost surely, 2229485120 is an apocalyptic number.

229485120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376915680).

229485120 is an abundant number, since it is smaller than the sum of its proper divisors (524346240).

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

229485120 is a wasteful number, since it uses less digits than its factorization.

229485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 229485120 is about 15148.7662864010. The cubic root of 229485120 is about 612.2350329694.

The spelling of 229485120 in words is "two hundred twenty-nine million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 8243 9280 13920 16486 24729 27840 32972 41215 49458 65944 82430 98916 123645 131888 164860 197832 239047 247290 263776 329720 395664 478094 494580 527552 659440 717141 791328 956188 989160 1195235 1318880 1434282 1582656 1912376 1978320 2390470 2637760 2868564 3585705 3824752 3956640 4780940 5737128 7171410 7649504 7913280 9561880 11474256 14342820 15299008 19123760 22948512 28685640 38247520 45897024 57371280 76495040 114742560 229485120