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229374080 = 27513191451
BaseRepresentation
bin11011010101111…
…11100010000000
3120222121102002022
431222333202000
5432204432310
634432141012
75453435045
oct1552774200
9528542068
10229374080
11108526161
1264997768
13386a0410
142266b1cc
151520ca55
hexdabf880

229374080 has 128 divisors (see below), whose sum is σ = 622036800. Its totient is φ = 80179200.

The previous prime is 229374077. The next prime is 229374097. The reversal of 229374080 is 80473922.

229374080 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 (128).

It is a super-2 number, since 2×2293740802 = 105224937151692800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229374080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157355 + ... + 158805.

Almost surely, 2229374080 is an apocalyptic number.

229374080 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 229374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

229374080 is an abundant number, since it is smaller than the sum of its proper divisors (392662720).

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

229374080 is a wasteful number, since it uses less digits than its factorization.

229374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 229374080 is about 15145.1008580333. The cubic root of 229374080 is about 612.1362705081.

The spelling of 229374080 in words is "two hundred twenty-nine million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1451 1520 1664 1976 2080 2432 2470 2902 3040 3952 4160 4940 5804 6080 7255 7904 8320 9880 11608 12160 14510 15808 18863 19760 23216 27569 29020 31616 37726 39520 46432 55138 58040 75452 79040 92864 94315 110276 116080 137845 150904 158080 185728 188630 220552 232160 275690 301808 358397 377260 441104 464320 551380 603616 716794 754520 882208 928640 1102760 1207232 1433588 1509040 1764416 1791985 2205520 2414464 2867176 3018080 3528832 3583970 4411040 5734352 6036160 7167940 8822080 11468704 12072320 14335880 17644160 22937408 28671760 45874816 57343520 114687040 229374080