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1228811688 = 2333134310177
BaseRepresentation
bin100100100111110…
…0010110110101000
310011122020002202000
41021033202312220
510004033433223
6321533411000
742310504236
oct11117426650
93148202660
101228811688
115806a5455
122a3639a60
13167771610
14b92ad956
1572d2c543
hex493e2da8

1228811688 has 128 divisors (see below), whose sum is σ = 3761788800. Its totient is φ = 369266688.

The previous prime is 1228811687. The next prime is 1228811707. The reversal of 1228811688 is 8861188221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1228811687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115656 + ... + 125832.

It is an arithmetic number, because the mean of its divisors is an integer number (29388975).

Almost surely, 21228811688 is an apocalyptic number.

1228811688 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 1228811688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880894400).

1228811688 is an abundant number, since it is smaller than the sum of its proper divisors (2532977112).

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

1228811688 is a wasteful number, since it uses less digits than its factorization.

1228811688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10238 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 1228811688 is about 35054.4103929876. The cubic root of 1228811688 is about 1071.0961160983.

The spelling of 1228811688 in words is "one billion, two hundred twenty-eight million, eight hundred eleven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 86 104 108 117 129 156 172 216 234 258 312 344 351 387 468 516 559 702 774 936 1032 1118 1161 1404 1548 1677 2236 2322 2808 3096 3354 4472 4644 5031 6708 9288 10062 10177 13416 15093 20124 20354 30186 30531 40248 40708 60372 61062 81416 91593 120744 122124 132301 183186 244248 264602 274779 366372 396903 437611 529204 549558 732744 793806 875222 1058408 1099116 1190709 1312833 1587612 1750444 2198232 2381418 2625666 3175224 3500888 3572127 3938499 4762836 5251332 5688943 7144254 7876998 9525672 10502664 11377886 11815497 14288508 15753996 17066829 22755772 23630994 28577016 31507992 34133658 45511544 47261988 51200487 68267316 94523976 102400974 136534632 153601461 204801948 307202922 409603896 614405844 1228811688