Search a number
-
+
2412234112200 = 2335211365490017
BaseRepresentation
bin100011000110100100010…
…110110111110011001000
322112121101202001111212120
4203012210112313303020
5304010223413042300
65044055352411240
7336164260433463
oct43064426676310
98477352044776
102412234112200
118500282a6810
1232b6103a6b20
1314661b6a6153
1484a777b22da
1542b3398d3a0
hex231a45b7cc8

2412234112200 has 96 divisors (see below), whose sum is σ = 8157737201760. Its totient is φ = 584784025600.

The previous prime is 2412234112157. The next prime is 2412234112201. The reversal of 2412234112200 is 22114322142.

It is a super-2 number, since 2×24122341122002 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2412234112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182738409 + ... + 182751608.

It is an arithmetic number, because the mean of its divisors is an integer number (84976429185).

Almost surely, 22412234112200 is an apocalyptic number.

2412234112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412234112200 is an abundant number, since it is smaller than the sum of its proper divisors (5745503089560).

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

2412234112200 is a wasteful number, since it uses less digits than its factorization.

2412234112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365490047 (or 365490038 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2412234112200 its reverse (22114322142), we get a palindrome (2434348434342).

The spelling of 2412234112200 in words is "two trillion, four hundred twelve billion, two hundred thirty-four million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 365490017 730980034 1096470051 1461960068 1827450085 2192940102 2923920136 3654900170 4020390187 4385880204 5482350255 7309800340 8040780374 8771760408 9137250425 10964700510 12061170561 14619600680 16081560748 18274500850 20101950935 21929401020 24122341122 27411751275 32163121496 36549001700 40203901870 43858802040 48244682244 54823502550 60305852805 73098003400 80407803740 96489364488 100509754675 109647005100 120611705610 160815607480 201019509350 219294010200 241223411220 301529264025 402039018700 482446822440 603058528050 804078037400 1206117056100 2412234112200