Search a number
-
+
223414414244 = 22737733179319
BaseRepresentation
bin1101000000010010001…
…0010110101110100100
3210100200010122011112222
43100010202112232210
512130023042223434
6250345110131512
722066263121250
oct3200442265644
9710603564488
10223414414244
118682768117a
1237371050b98
13180b61c8768
14ab55a47260
155c28d4372e
hex3404896ba4

223414414244 has 96 divisors (see below), whose sum is σ = 466709214720. Its totient is φ = 91585354752.

The previous prime is 223414414231. The next prime is 223414414283. The reversal of 223414414244 is 442414414322.

223414414244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 23969417 + ... + 23978735.

It is an arithmetic number, because the mean of its divisors is an integer number (4861554320).

Almost surely, 2223414414244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223414414244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233354607360).

223414414244 is an abundant number, since it is smaller than the sum of its proper divisors (243294800476).

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

223414414244 is a wasteful number, since it uses less digits than its factorization.

223414414244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9755 counting only the distinct ones).

The product of its digits is 98304, while the sum is 35.

Adding to 223414414244 its reverse (442414414322), we get a palindrome (665828828566).

The spelling of 223414414244 in words is "two hundred twenty-three billion, four hundred fourteen million, four hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 37 73 74 146 148 259 292 317 511 518 634 1022 1036 1268 2044 2219 2701 4438 5402 8876 9319 10804 11729 18638 18907 23141 23458 37276 37814 46282 46916 65233 75628 82103 92564 130466 161987 164206 260932 323974 328412 344803 647948 680287 689606 856217 1360574 1379212 1712434 2413621 2721148 2954123 3424868 4762009 4827242 5908246 5993519 9524018 9654484 11816492 11987038 19048036 20678861 23974076 25170619 41357722 50341238 82715444 100682476 109302551 176194333 215650979 218605102 352388666 431301958 437210204 704777332 765117857 862603916 1509556853 1530235714 3019113706 3060471428 6038227412 7979086223 15958172446 31916344892 55853603561 111707207122 223414414244