Search a number
-
+
1223540424 = 2333137173239
BaseRepresentation
bin100100011101101…
…1011111011001000
310011021022021221000
41020323123323020
510001211243144
6321224415000
742214631151
oct11073337310
93137267830
101223540424
11578725037
122a1917460
13166647222
14b86da928
157263a769
hex48edbec8

1223540424 has 128 divisors (see below), whose sum is σ = 3457728000. Its totient is φ = 400845312.

The previous prime is 1223540389. The next prime is 1223540431. The reversal of 1223540424 is 4240453221.

1223540424 is a `hidden beast` number, since 1 + 2 + 235 + 4 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119297 + ... + 5119535.

It is an arithmetic number, because the mean of its divisors is an integer number (27013500).

Almost surely, 21223540424 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 1223540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728864000).

1223540424 is an abundant number, since it is smaller than the sum of its proper divisors (2234187576).

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

1223540424 is a wasteful number, since it uses less digits than its factorization.

1223540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1223540424 is about 34979.1426996146. The cubic root of 1223540424 is about 1069.5623516619.

Adding to 1223540424 its reverse (4240453221), we get a palindrome (5463993645).

The spelling of 1223540424 in words is "one billion, two hundred twenty-three million, five hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 173 216 239 274 346 411 478 519 548 692 717 822 956 1038 1096 1233 1384 1434 1557 1644 1912 2076 2151 2466 2868 3114 3288 3699 4152 4302 4671 4932 5736 6228 6453 7398 8604 9342 9864 12456 12906 14796 17208 18684 23701 25812 29592 32743 37368 41347 47402 51624 65486 71103 82694 94804 98229 124041 130972 142206 165388 189608 196458 213309 248082 261944 284412 294687 330776 372123 392916 426618 496164 568824 589374 639927 744246 785832 853236 884061 992328 1116369 1178748 1279854 1488492 1706472 1768122 2232738 2357496 2559708 2976984 3536244 4465476 5119416 5664539 7072488 8930952 11329078 16993617 22658156 33987234 45316312 50980851 67974468 101961702 135948936 152942553 203923404 305885106 407846808 611770212 1223540424