Search a number
-
+
224364063132 = 2233111311441669
BaseRepresentation
bin1101000011110100100…
…0111110100110011100
3210110010022120022221000
43100331020332212130
512133444200010012
6251023232310300
722131644033016
oct3207510764634
9713108508830
10224364063132
1187174734470
12375970a2390
1318207b86791
14ac05c091b6
155c823caddc
hex343d23e99c

224364063132 has 96 divisors (see below), whose sum is σ = 639409478400. Its totient is φ = 67470062400.

The previous prime is 224364063097. The next prime is 224364063149. The reversal of 224364063132 is 231360463422.

224364063132 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 640 + 6 + 3 + 1 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565207 + ... + 876462.

It is an arithmetic number, because the mean of its divisors is an integer number (6660515400).

Almost surely, 2224364063132 is an apocalyptic number.

224364063132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224364063132 is an abundant number, since it is smaller than the sum of its proper divisors (415045415268).

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

224364063132 is a wasteful number, since it uses less digits than its factorization.

224364063132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441824 (or 1441816 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 224364063132 in words is "two hundred twenty-four billion, three hundred sixty-four million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 131 132 198 262 297 393 396 524 594 786 1179 1188 1441 1572 2358 2882 3537 4323 4716 5764 7074 8646 12969 14148 17292 25938 38907 51876 77814 155628 1441669 2883338 4325007 5766676 8650014 12975021 15858359 17300028 25950042 31716718 38925063 47575077 51900084 63433436 77850126 95150154 142725231 155700252 188858639 190300308 285450462 377717278 428175693 566575917 570900924 755434556 856351386 1133151834 1699727751 1712702772 2077445029 2266303668 3399455502 4154890058 5099183253 6232335087 6798911004 8309780116 10198366506 12464670174 18697005261 20396733012 24929340348 37394010522 56091015783 74788021044 112182031566 224364063132