Search a number
-
+
222300324144 = 243219924132189
BaseRepresentation
bin1100111100001000100…
…0011100000100110000
3210020210111021112020200
43033002020130010300
512120232340333034
6250042351235200
722026544402203
oct3170210340460
9706714245220
10222300324144
1186305812858
12370bbb18b00
1317c69453652
14aa8babb93a
155bb1127a99
hex33c221c130

222300324144 has 120 divisors (see below), whose sum is σ = 627872388000. Its totient is φ = 73419540480.

The previous prime is 222300324091. The next prime is 222300324163. The reversal of 222300324144 is 441423003222.

222300324144 is a `hidden beast` number, since 2 + 22 + 300 + 324 + 14 + 4 = 666.

It is a super-2 number, since 2×2223003241442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6890002 + ... + 6922190.

It is an arithmetic number, because the mean of its divisors is an integer number (5232269900).

Almost surely, 2222300324144 is an apocalyptic number.

222300324144 is a gapful number since it is divisible by the number (24) 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 222300324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313936194000).

222300324144 is an abundant number, since it is smaller than the sum of its proper divisors (405572063856).

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

222300324144 is a wasteful number, since it uses less digits than its factorization.

222300324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32643 (or 32634 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 222300324144 its reverse (441423003222), we get a palindrome (663723327366).

The spelling of 222300324144 in words is "two hundred twenty-two billion, three hundred million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 241 398 482 597 723 796 964 1194 1446 1592 1791 1928 2169 2388 2892 3184 3582 3856 4338 4776 5784 7164 8676 9552 11568 14328 17352 28656 32189 34704 47959 64378 95918 96567 128756 143877 191836 193134 257512 287754 289701 383672 386268 431631 515024 575508 579402 767344 772536 863262 1151016 1158804 1545072 1726524 2302032 2317608 3453048 4635216 6405611 6906096 7757549 12811222 15515098 19216833 23272647 25622444 31030196 38433666 46545294 51244888 57650499 62060392 69817941 76867332 93090588 102489776 115300998 124120784 139635882 153734664 186181176 230601996 279271764 307469328 372362352 461203992 558543528 922407984 1117087056 1543752251 3087504502 4631256753 6175009004 9262513506 12350018008 13893770259 18525027012 24700036016 27787540518 37050054024 55575081036 74100108048 111150162072 222300324144