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229008240 = 243252313829
BaseRepresentation
bin11011010011001…
…10001101110000
3120221220211020200
431221212031300
5432111230430
634420235200
75450352336
oct1551461560
9527824220
10229008240
111082a630a
126483bb00
13385a2a46
14225b3b56
1515189460
hexda66370

229008240 has 120 divisors (see below), whose sum is σ = 802582560. Its totient is φ = 58409472.

The previous prime is 229008229. The next prime is 229008251. The reversal of 229008240 is 42800922.

229008240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229008229) and next prime (229008251).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9646 + ... + 23474.

It is an arithmetic number, because the mean of its divisors is an integer number (6688188).

Almost surely, 2229008240 is an apocalyptic number.

229008240 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 229008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401291280).

229008240 is an abundant number, since it is smaller than the sum of its proper divisors (573574320).

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

229008240 is a wasteful number, since it uses less digits than its factorization.

229008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 229008240 is about 15133.0182052359. The cubic root of 229008240 is about 611.8106552533.

The spelling of 229008240 in words is "two hundred twenty-nine million, eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 13829 16560 27658 41487 55316 69145 82974 110632 124461 138290 165948 207435 221264 248922 276580 318067 331896 414870 497844 553160 622305 636134 663792 829740 954201 995688 1106320 1244610 1272268 1590335 1659480 1908402 1991376 2489220 2544536 2862603 3180670 3318960 3816804 4771005 4978440 5089072 5725206 6361340 7633608 9542010 9956880 11450412 12722680 14313015 15267216 19084020 22900824 25445360 28626030 38168040 45801648 57252060 76336080 114504120 229008240