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224112341430 = 2355471962283
BaseRepresentation
bin1101000010111000100…
…0101111000110110110
3210102110202220112200000
43100232020233012312
512132440224411210
6250542241132130
722122466320345
oct3205610570666
9712422815600
10224112341430
11870556351aa
123752692a046
1318197990523
14abc0601b5c
155c6a256ac0
hex342e22f1b6

224112341430 has 96 divisors (see below), whose sum is σ = 617130468864. Its totient is φ = 58491701856.

The previous prime is 224112341407. The next prime is 224112341447. The reversal of 224112341430 is 34143211422.

224112341430 is a `hidden beast` number, since 2 + 2 + 411 + 234 + 14 + 3 + 0 = 666.

224112341430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224112341394 and 224112341403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866932 + ... + 1095351.

It is an arithmetic number, because the mean of its divisors is an integer number (6428442384).

Almost surely, 2224112341430 is an apocalyptic number.

224112341430 is an abundant number, since it is smaller than the sum of its proper divisors (393018127434).

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

224112341430 is a wasteful number, since it uses less digits than its factorization.

224112341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962352 (or 1962340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224112341430 its reverse (34143211422), we get a palindrome (258255552852).

The spelling of 224112341430 in words is "two hundred twenty-four billion, one hundred twelve million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 243 270 282 405 423 470 486 705 810 846 1215 1269 1410 2115 2430 2538 3807 4230 6345 7614 11421 12690 19035 22842 38070 57105 114210 1962283 3924566 5886849 9811415 11773698 17660547 19622830 29434245 35321094 52981641 58868490 88302735 92227301 105963282 158944923 176605470 184454602 264908205 276681903 317889846 461136505 476834769 529816410 553363806 794724615 830045709 922273010 953669538 1383409515 1589449230 1660091418 2384173845 2490137127 2766819030 4150228545 4768347690 4980274254 7470411381 8300457090 12450685635 14940822762 22411234143 24901371270 37352056905 44822468286 74704113810 112056170715 224112341430