Search a number
-
+
1224089064 = 2333113116619
BaseRepresentation
bin100100011110110…
…0001110111101000
310011022100011112000
41020331201313220
510001331322224
6321244251000
742222404532
oct11075416750
93138304460
101224089064
11578a6a260
122a1b40a60
131667a9b73
14b8800852
15726e80c9
hex48f61de8

1224089064 has 128 divisors (see below), whose sum is σ = 3829248000. Its totient is φ = 358948800.

The previous prime is 1224089059. The next prime is 1224089077. The reversal of 1224089064 is 4609804221.

1224089064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 65347 + ... + 81965.

It is an arithmetic number, because the mean of its divisors is an integer number (29916000).

Almost surely, 21224089064 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 1224089064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914624000).

1224089064 is an abundant number, since it is smaller than the sum of its proper divisors (2605158936).

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

1224089064 is a wasteful number, since it uses less digits than its factorization.

1224089064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676 (or 16666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1224089064 is about 34986.9842084167. The cubic root of 1224089064 is about 1069.7221929962.

The spelling of 1224089064 in words is "one billion, two hundred twenty-four million, eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 16619 18414 24552 33238 36828 49857 66476 73656 99714 132952 149571 182809 199428 299142 365618 398856 448713 515189 548427 598284 731236 897426 1030378 1096854 1196568 1462472 1545567 1645281 1794852 2060756 2193708 3091134 3290562 3589704 4121512 4387416 4636701 4935843 5667079 6182268 6581124 9273402 9871686 11334158 12364536 13162248 13910103 17001237 18546804 19743372 22668316 27820206 34002474 37093608 39486744 45336632 51003711 55640412 68004948 102007422 111280824 136009896 153011133 204014844 306022266 408029688 612044532 1224089064