Search a number
-
+
23333536240 = 2457419710477
BaseRepresentation
bin10101101110110010…
…011000000111110000
32020020011011110021221
4111232302120013300
5340241341124430
614415210354424
71454140533310
oct255662300760
966204143257
1023333536240
11999419a153
12463242ba14
13227b1cc6a1
1411b4d11440
1591874557a
hex56ec981f0

23333536240 has 160 divisors (see below), whose sum is σ = 64173642624. Its totient is φ = 7723745280.

The previous prime is 23333536189. The next prime is 23333536241. The reversal of 23333536240 is 4263533332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23333536196 and 23333536205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23333536241) by changing a digit.

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, 2221882 + ... + 2232358.

Almost surely, 223333536240 is an apocalyptic number.

23333536240 is a gapful number since it is divisible by the number (20) 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 23333536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32086821312).

23333536240 is an abundant number, since it is smaller than the sum of its proper divisors (40840106384).

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

23333536240 is a wasteful number, since it uses less digits than its factorization.

23333536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 34.

The spelling of 23333536240 in words is "twenty-three billion, three hundred thirty-three million, five hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 97 112 140 164 194 205 280 287 328 388 410 485 560 574 656 679 776 820 970 1148 1358 1435 1552 1640 1940 2296 2716 2870 3280 3395 3880 3977 4592 5432 5740 6790 7760 7954 10477 10864 11480 13580 15908 19885 20954 22960 27160 27839 31816 39770 41908 52385 54320 55678 63632 73339 79540 83816 104770 111356 139195 146678 159080 167632 209540 222712 278390 293356 318160 366695 419080 429557 445424 556780 586712 733390 838160 859114 1016269 1113560 1173424 1466780 1718228 2032538 2147785 2227120 2933560 3006899 3436456 4065076 4295570 5081345 5867120 6013798 6872912 7113883 8130152 8591140 10162690 12027596 14227766 15034495 16260304 17182280 20325380 24055192 28455532 30068990 34364560 35569415 40650760 41667029 48110384 56911064 60137980 71138830 81301520 83334058 113822128 120275960 142277660 166668116 208335145 240551920 284555320 291669203 333336232 416670290 569110640 583338406 666672464 833340580 1166676812 1458346015 1666681160 2333353624 2916692030 3333362320 4666707248 5833384060 11666768120 23333536240