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228814895716 = 2211217212792
BaseRepresentation
bin1101010100011001101…
…1100011101001100100
3210212121111121001102021
43111012123203221210
512222103103130331
6253041025152524
722350150344221
oct3250633435144
9725544531367
10228814895716
1189049052900
123841978b744
1318767006b24
14b108d96948
155e43006211
hex35466e3a64

228814895716 has 81 divisors (see below), whose sum is σ = 467917012857. Its totient is φ = 97812190080.

The previous prime is 228814895711. The next prime is 228814895723. The reversal of 228814895716 is 617598418822.

It is a happy number.

The square root of 228814895716 is 478346.

It is a perfect power (a square), and thus also a powerful number.

228814895716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 178143084900 + 50671810816 = 422070^2 + 225104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228814895711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178900765 + ... + 178902043.

Almost surely, 2228814895716 is an apocalyptic number.

228814895716 is the 478346-th square number.

It is an amenable number.

228814895716 is an abundant number, since it is smaller than the sum of its proper divisors (239102117141).

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

228814895716 is a wasteful number, since it uses less digits than its factorization.

228814895716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 1309 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 61.

The spelling of 228814895716 in words is "two hundred twenty-eight billion, eight hundred fourteen million, eight hundred ninety-five thousand, seven hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 1279 2057 2558 3179 4114 5116 6358 8228 12716 14069 21743 28138 34969 43486 56276 69938 86972 139876 154759 239173 309518 369631 478346 619036 739262 956692 1478524 1635841 2630903 3271682 4065941 5261806 6543364 8131882 10523612 16263764 17994251 27809297 35988502 44725351 55618594 71977004 89450702 111237188 178901404 197936761 305902267 395873522 472758049 611804534 791747044 945516098 1223609068 1891032196 3364924937 5200338539 6729849874 10400677078 13459699748 20801354156 57203723929 114407447858 228814895716