Search a number
-
+
1223254680 = 2335411092281
BaseRepresentation
bin100100011101001…
…0110001010011000
310011020202202221220
41020322112022120
510001123122210
6321214332040
742212331114
oct11072261230
93136682856
101223254680
1157854a38a
122a17ba020
1316657714b
14b8664744
15725d0c70
hex48e96298

1223254680 has 128 divisors (see below), whose sum is σ = 3795422400. Its totient is φ = 315187200.

The previous prime is 1223254679. The next prime is 1223254693. The reversal of 1223254680 is 864523221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535140 + ... + 537420.

Almost surely, 21223254680 is an apocalyptic number.

1223254680 is a gapful number since it is divisible by the number (10) 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 1223254680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897711200).

1223254680 is an abundant number, since it is smaller than the sum of its proper divisors (2572167720).

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

1223254680 is a wasteful number, since it uses less digits than its factorization.

1223254680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1223254680 is about 34975.0579699305. The cubic root of 1223254680 is about 1069.4790837907.

The spelling of 1223254680 in words is "one billion, two hundred twenty-three million, two hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 109 120 123 164 205 218 246 327 328 410 436 492 545 615 654 820 872 984 1090 1230 1308 1635 1640 2180 2281 2460 2616 3270 4360 4469 4562 4920 6540 6843 8938 9124 11405 13080 13407 13686 17876 18248 22345 22810 26814 27372 34215 35752 44690 45620 53628 54744 67035 68430 89380 91240 93521 107256 134070 136860 178760 187042 248629 268140 273720 280563 374084 467605 497258 536280 561126 745887 748168 935210 994516 1122252 1243145 1402815 1491774 1870420 1989032 2244504 2486290 2805630 2983548 3729435 3740840 4972580 5611260 5967096 7458870 9945160 10193789 11222520 14917740 20387578 29835480 30581367 40775156 50968945 61162734 81550312 101937890 122325468 152906835 203875780 244650936 305813670 407751560 611627340 1223254680