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223213231222128 = 24327853259603397
BaseRepresentation
bin110010110000001011100001…
…010110110010110101110000
31002021022222100212112020202200
4302300023201112302311300
5213224111144143102003
62110422424240143200
765005423645151250
oct6260134126626560
91067288325466680
10223213231222128
1165139221960284
1221050277607b00
139771bc065cca4
143d198141b3960
151ac144d4b56a3
hexcb02e15b2d70

223213231222128 has 120 divisors (see below), whose sum is σ = 714764997299808. Its totient is φ = 63700442896896.

The previous prime is 223213231222057. The next prime is 223213231222129. The reversal of 223213231222128 is 821222132312322.

223213231222128 is a `hidden beast` number, since 2 + 2 + 3 + 213 + 2 + 312 + 2 + 2 + 128 = 666.

It is a super-3 number, since 3×2232132312221283 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 223213231222092 and 223213231222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223213231222129) 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, 128941875 + ... + 130661522.

Almost surely, 2223213231222128 is an apocalyptic number.

223213231222128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

223213231222128 is an abundant number, since it is smaller than the sum of its proper divisors (491551766077680).

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

223213231222128 is a wasteful number, since it uses less digits than its factorization.

223213231222128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259604271 (or 259604262 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 223213231222128 in words is "two hundred twenty-three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 853 1008 1706 2559 3412 5118 5971 6824 7677 10236 11942 13648 15354 17913 20472 23884 30708 35826 40944 47768 53739 61416 71652 95536 107478 122832 143304 214956 286608 429912 859824 259603397 519206794 778810191 1038413588 1557620382 1817223779 2076827176 2336430573 3115240764 3634447558 4153654352 4672861146 5451671337 6230481528 7268895116 9345722292 10903342674 12460963056 14537790232 16355014011 18691444584 21806685348 29075580464 32710028022 37382889168 43613370696 65420056044 87226741392 130840112088 221441697641 261680224176 442883395282 664325092923 885766790564 1328650185846 1550091883487 1771533581128 1992975278769 2657300371692 3100183766974 3543067162256 3985950557538 4650275650461 5314600743384 6200367533948 7971901115076 9300551300922 10629201486768 12400735067896 13950826951383 15943802230152 18601102601844 24801470135792 27901653902766 31887604460304 37202205203688 55803307805532 74404410407376 111606615611064 223213231222128