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228317280 = 25351313631
BaseRepresentation
bin11011001101111…
…01100001100000
3120220121201102120
431212331201200
5431422123110
634353344240
75441444022
oct1546754140
9526551376
10228317280
11107974174
1264568080
13383c03a9
1422474012
151509e870
hexd9bd860

228317280 has 96 divisors (see below), whose sum is σ = 724889088. Its totient is φ = 60403200.

The previous prime is 228317249. The next prime is 228317359. The reversal of 228317280 is 82713822.

228317280 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 (96).

It is a congruent number.

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, 61065 + ... + 64695.

It is an arithmetic number, because the mean of its divisors is an integer number (7550928).

Almost surely, 2228317280 is an apocalyptic number.

228317280 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 228317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362444544).

228317280 is an abundant number, since it is smaller than the sum of its proper divisors (496571808).

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

228317280 is a wasteful number, since it uses less digits than its factorization.

228317280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 228317280 is about 15110.1714086902. The cubic root of 228317280 is about 611.1947202654.

The spelling of 228317280 in words is "two hundred twenty-eight million, three hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3631 3930 4192 5240 6288 7262 7860 10480 10893 12576 14524 15720 18155 20960 21786 29048 31440 36310 43572 54465 58096 62880 72620 87144 108930 116192 145240 174288 217860 290480 348576 435720 475661 580960 871440 951322 1426983 1742880 1902644 2378305 2853966 3805288 4756610 5707932 7134915 7610576 9513220 11415864 14269830 15221152 19026440 22831728 28539660 38052880 45663456 57079320 76105760 114158640 228317280