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228070024 = 237132353257
BaseRepresentation
bin11011001100000…
…01001010001000
3120220011011020221
431212001022020
5431341220044
634344155424
75436364120
oct1546011210
9526134227
10228070024
11107815426
1264468b74
13383349a0
142240bc80
1515051484
hexd981288

228070024 has 128 divisors (see below), whose sum is σ = 561738240. Its totient is φ = 84344832.

The previous prime is 228070021. The next prime is 228070027. The reversal of 228070024 is 420070822.

228070024 is digitally balanced in base 3, 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 (228070021) and next prime (228070027).

It is not an unprimeable number, because it can be changed into a prime (228070021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887304 + ... + 887560.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2228070024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228070024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280869120).

228070024 is an abundant number, since it is smaller than the sum of its proper divisors (333668216).

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

228070024 is a wasteful number, since it uses less digits than its factorization.

228070024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 228070024 is about 15101.9874188797. The cubic root of 228070024 is about 610.9740096430.

The spelling of 228070024 in words is "two hundred twenty-eight million, seventy thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 53 56 91 92 104 106 161 182 184 212 257 299 322 364 371 424 514 598 644 689 728 742 1028 1196 1219 1288 1378 1484 1799 2056 2093 2392 2438 2756 2968 3341 3598 4186 4823 4876 5512 5911 6682 7196 8372 8533 9646 9752 11822 13364 13621 14392 15847 16744 17066 19292 23387 23644 26728 27242 31694 34132 38584 41377 46774 47288 54484 63388 68264 76843 82754 93548 95347 108968 110929 126776 153686 165508 177073 187096 190694 221858 307372 313283 331016 354146 381388 443716 537901 614744 626566 708292 762776 887432 1075802 1239511 1253132 1416584 2151604 2192981 2479022 2506264 4072679 4303208 4385962 4958044 8145358 8771924 9916088 16290716 17543848 28508753 32581432 57017506 114035012 228070024