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1224652068 = 2233192101311
BaseRepresentation
bin100100011111110…
…1011010100100100
310011100101202211000
41020333223110210
510002002331233
6321304313300
742230241123
oct11077532444
93140352730
101224652068
11579314252
122a2172830
131669461c3
14b8909aba
15727a9d13
hex48feb524

1224652068 has 144 divisors (see below), whose sum is σ = 3394984320. Its totient is φ = 381672000.

The previous prime is 1224652067. The next prime is 1224652109. The reversal of 1224652068 is 8602564221.

It is a happy number.

1224652068 is a `hidden beast` number, since 122 + 4 + 6 + 520 + 6 + 8 = 666.

1224652068 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 not an unprimeable number, because it can be changed into a prime (1224652067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937633 + ... + 3937943.

It is an arithmetic number, because the mean of its divisors is an integer number (23576280).

Almost surely, 21224652068 is an apocalyptic number.

1224652068 is a gapful number since it is divisible by the number (18) 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 1224652068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697492160).

1224652068 is an abundant number, since it is smaller than the sum of its proper divisors (2170332252).

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

1224652068 is a wasteful number, since it uses less digits than its factorization.

1224652068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1224652068 is about 34995.0291898721. The cubic root of 1224652068 is about 1069.8861695078.

The spelling of 1224652068 in words is "one billion, two hundred twenty-four million, six hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 101 108 114 171 202 228 303 311 342 361 404 513 606 622 684 722 909 933 1026 1083 1212 1244 1444 1818 1866 1919 2052 2166 2727 2799 3249 3636 3732 3838 4332 5454 5598 5757 5909 6498 7676 8397 9747 10908 11196 11514 11818 12996 16794 17271 17727 19494 23028 23636 31411 33588 34542 35454 36461 38988 51813 53181 62822 69084 70908 72922 94233 103626 106362 109383 112271 125644 145844 159543 188466 207252 212724 218766 224542 282699 319086 328149 336813 376932 437532 449084 565398 596809 638172 656298 673626 848097 984447 1010439 1130796 1193618 1312596 1347252 1696194 1790427 1968894 2020878 2387236 3031317 3392388 3580854 3937788 4041756 5371281 6062634 7161708 10742562 11339371 12125268 16113843 21485124 22678742 32227686 34018113 45357484 64455372 68036226 102054339 136072452 204108678 306163017 408217356 612326034 1224652068