Search a number
-
+
23224133100 = 22352721579873
BaseRepresentation
bin10101101000010001…
…000010010111101100
32012221112022012101210
4111220101002113230
5340030334224400
614400301434420
71451341605600
oct255021022754
965845265353
1023224133100
119938465a33
12460186ba10
132261645bbc
1411a4593500
1590dd34950
hex5684425ec

23224133100 has 108 divisors (see below), whose sum is σ = 78165846024. Its totient is φ = 5308369920.

The previous prime is 23224133081. The next prime is 23224133131. The reversal of 23224133100 is 133142232.

It is a super-2 number, since 2×232241331002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 775237 + ... + 804636.

Almost surely, 223224133100 is an apocalyptic number.

23224133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23224133100 is an abundant number, since it is smaller than the sum of its proper divisors (54941712924).

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

23224133100 is a wasteful number, since it uses less digits than its factorization.

23224133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579904 (or 1579890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23224133100 its reverse (133142232), we get a palindrome (23357275332).

The spelling of 23224133100 in words is "twenty-three billion, two hundred twenty-four million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 1579873 3159746 4739619 6319492 7899365 9479238 11059111 15798730 18958476 22118222 23698095 31597460 33177333 39496825 44236444 47396190 55295555 66354666 77413777 78993650 94792380 110591110 118490475 132709332 154827554 157987300 165886665 221182220 232241331 236980950 276477775 309655108 331773330 387068885 464482662 473961900 552955550 663546660 774137770 829433325 928965324 1105911100 1161206655 1548275540 1658866650 1935344425 2322413310 3317733300 3870688850 4644826620 5806033275 7741377700 11612066550 23224133100