Search a number
-
+
211422224112 = 24311894499111
BaseRepresentation
bin1100010011100110111…
…1110001111011110000
3202012201101012210022220
43010321233301323300
511430443042132422
6241043120001040
721163145152641
oct3047157617360
9665641183286
10211422224112
1181733374240
1234b84a60180
1316c24869978
14a33909d6c8
155776116e5c
hex3139bf1ef0

211422224112 has 80 divisors (see below), whose sum is σ = 602521079040. Its totient is φ = 63347468800.

The previous prime is 211422224077. The next prime is 211422224119.

211422224112 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211422224119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202564 + ... + 2296547.

It is an arithmetic number, because the mean of its divisors is an integer number (7531513488).

Almost surely, 2211422224112 is an apocalyptic number.

211422224112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211422224112 is an abundant number, since it is smaller than the sum of its proper divisors (391098854928).

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

211422224112 is a wasteful number, since it uses less digits than its factorization.

211422224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499222 (or 4499216 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 211422 and 224112, that added together give a palindrome (435534).

The spelling of 211422224112 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 7832 11748 15664 23496 46992 4499111 8998222 13497333 17996444 26994666 35992888 49490221 53989332 71985776 98980442 107978664 148470663 197960884 215957328 296941326 395921768 400420879 593882652 791843536 800841758 1187765304 1201262637 1601683516 2375530608 2402525274 3203367032 4404629669 4805050548 6406734064 8809259338 9610101096 13213889007 17618518676 19220202192 26427778014 35237037352 52855556028 70474074704 105711112056 211422224112