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223401403225 = 527111318794751
BaseRepresentation
bin1101000000001111000…
…0101110001101011001
3210100122020011010210101
43100003300232031121
512130011224400400
6250343523215401
722066044411250
oct3200360561531
9710566133711
10223401403225
11868202a4870
1237368817561
13180b35c1530
14ab5401b797
155c27b2356a
hex3403c2e359

223401403225 has 96 divisors (see below), whose sum is σ = 372216176640. Its totient is φ = 128455200000.

The previous prime is 223401403219. The next prime is 223401403237. The reversal of 223401403225 is 522304104322.

It is not a de Polignac number, because 223401403225 - 23 = 223401403217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223401403193 and 223401403202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47019600 + ... + 47024350.

It is an arithmetic number, because the mean of its divisors is an integer number (3877251840).

Almost surely, 2223401403225 is an apocalyptic number.

223401403225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223401403225 is a deficient number, since it is larger than the sum of its proper divisors (148814773415).

223401403225 is a wasteful number, since it uses less digits than its factorization.

223401403225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 223401403225 its reverse (522304104322), we get a palindrome (745705507547).

It can be divided in two parts, 223401 and 403225, that added together give a palindrome (626626).

The spelling of 223401403225 in words is "two hundred twenty-three billion, four hundred one million, four hundred three thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1879 1925 2275 3575 4751 5005 9395 13153 20669 23755 24427 25025 33257 46975 52261 61763 65765 103345 118775 122135 144683 166285 170989 261305 268697 308815 328825 365827 432341 516725 610675 679393 723415 831425 854945 1306525 1343485 1544075 1829135 1880879 2161705 3396965 3617075 4274725 4755751 6717425 8927129 9145675 9404395 10808525 16984825 23778755 44635645 47021975 62489903 98198419 116052677 118893775 223178225 312449515 490992095 580263385 687388933 812368739 1276579447 1562247575 2454960475 2901316925 3436944665 4061843695 6382897235 8936056129 17184723325 20309218475 31914486175 44680280645 223401403225