Search a number
-
+
23221211640 = 233511413217
BaseRepresentation
bin10101101000000101…
…111001000111111000
32012221022210202220120
4111220011321013320
5340024112233030
614400115053240
71451305020324
oct255005710770
965838722816
1023221211640
119936850000
1246008a1220
132260b62223
1411a4032984
1590d959010
hex5681791f8

23221211640 has 160 divisors (see below), whose sum is σ = 76635320400. Its totient is φ = 5628958720.

The previous prime is 23221211639. The next prime is 23221211747. The reversal of 23221211640 is 4611212232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23221211640.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1750312 + ... + 1763528.

Almost surely, 223221211640 is an apocalyptic number.

23221211640 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 23221211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38317660200).

23221211640 is an abundant number, since it is smaller than the sum of its proper divisors (53414108760).

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

23221211640 is a wasteful number, since it uses less digits than its factorization.

23221211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23221211640 its reverse (4611212232), we get a palindrome (27832423872).

The spelling of 23221211640 in words is "twenty-three billion, two hundred twenty-one million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1331 1452 1815 2420 2662 2904 3630 3993 4840 5324 6655 7260 7986 10648 13217 13310 14520 14641 15972 19965 26434 26620 29282 31944 39651 39930 43923 52868 53240 58564 66085 73205 79302 79860 87846 105736 117128 132170 145387 146410 158604 159720 175692 198255 219615 264340 290774 292820 317208 351384 396510 436161 439230 528680 581548 585640 726935 793020 872322 878460 1163096 1453870 1586040 1599257 1744644 1756920 2180805 2907740 3198514 3489288 4361610 4797771 5815480 6397028 7996285 8723220 9595542 12794056 15992570 17446440 17591827 19191084 23988855 31985140 35183654 38382168 47977710 52775481 63970280 70367308 87959135 95955420 105550962 140734616 175918270 191910840 193510097 211101924 263877405 351836540 387020194 422203848 527754810 580530291 703673080 774040388 967550485 1055509620 1161060582 1548080776 1935100970 2111019240 2322121164 2902651455 3870201940 4644242328 5805302910 7740403880 11610605820 23221211640