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224010010422 = 2321129371054393
BaseRepresentation
bin1101000010100000001…
…0010111111100110110
3210102012122100120220200
43100220002113330312
512132233030313142
6250524143541330
722120114446252
oct3205002277466
9712178316820
10224010010422
11870028a1420
12374b85ba846
131817c711a33
14abb0ba5262
155c6129164c
hex3428097f36

224010010422 has 96 divisors (see below), whose sum is σ = 562540286880. Its totient is φ = 63769628160.

The previous prime is 224010010363. The next prime is 224010010493.

224010010422 is a `hidden beast` number, since 2 + 240 + 1 + 0 + 0 + 1 + 0 + 422 = 666.

224010010422 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224010010395 and 224010010404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314743 + ... + 739650.

It is an arithmetic number, because the mean of its divisors is an integer number (5859794655).

Almost surely, 2224010010422 is an apocalyptic number.

224010010422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224010010422 is an abundant number, since it is smaller than the sum of its proper divisors (338530276458).

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

224010010422 is a wasteful number, since it uses less digits than its factorization.

224010010422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054478 (or 1054475 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2240100 and 10422, that added together give a palindrome (2250522).

The spelling of 224010010422 in words is "two hundred twenty-four billion, ten million, ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 37 58 66 74 87 99 111 174 198 222 261 319 333 407 522 638 666 814 957 1073 1221 1914 2146 2442 2871 3219 3663 5742 6438 7326 9657 11803 19314 23606 35409 70818 106227 212454 1054393 2108786 3163179 6326358 9489537 11598323 18979074 23196646 30577397 34794969 39012541 61154794 69589938 78025082 91732191 104384907 117037623 183464382 208769814 234075246 275196573 336351367 351112869 429137951 550393146 672702734 702225738 858275902 1009054101 1131363689 1287413853 2018108202 2262727378 2574827706 3027162303 3394091067 3862241559 6054324606 6788182134 7724483118 10182273201 12445000579 20364546402 24890001158 37335001737 74670003474 112005005211 224010010422