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2228064090 = 235719753857
BaseRepresentation
bin1000010011001101…
…1000111101011010
312202021111101100020
42010303120331122
514030341022330
61005031051310
7106133142450
oct20463307532
95667441306
102228064090
11a4375858a
12522210b36
132967a9425
14171ca49d0
15d0912210
hex84cd8f5a

2228064090 has 64 divisors (see below), whose sum is σ = 6142397184. Its totient is φ = 506677248.

The previous prime is 2228064071. The next prime is 2228064109. The reversal of 2228064090 is 904608222.

2228064090 is digitally balanced in base 2 and base 4, because in such bases 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 (2228064071) and next prime (2228064109).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14442 + ... + 68298.

It is an arithmetic number, because the mean of its divisors is an integer number (95974956).

Almost surely, 22228064090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228064090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071198592).

2228064090 is an abundant number, since it is smaller than the sum of its proper divisors (3914333094).

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

2228064090 is a wasteful number, since it uses less digits than its factorization.

2228064090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54071.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2228064090 is about 47202.3737750550. The cubic root of 2228064090 is about 1306.0983867744.

The spelling of 2228064090 in words is "two billion, two hundred twenty-eight million, sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 197 210 394 591 985 1182 1379 1970 2758 2955 4137 5910 6895 8274 13790 20685 41370 53857 107714 161571 269285 323142 376999 538570 753998 807855 1130997 1615710 1884995 2261994 3769990 5654985 10609829 11309970 21219658 31829487 53049145 63658974 74268803 106098290 148537606 159147435 222806409 318294870 371344015 445612818 742688030 1114032045 2228064090