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2242064602422 = 2323771467101531
BaseRepresentation
bin100000101000000101011…
…101101101010100110110
321221100011100002202001100
4200220011131231110312
5243213222014234142
64433553521310530
7320661310450641
oct40500535552466
97840140082040
102242064602422
11794944021417
1230263aa95446
1313356c5abc28
147a733412a58
153d4c430cb4c
hex20a0576d536

2242064602422 has 96 divisors (see below), whose sum is σ = 5070251407104. Its totient is φ = 715372257600.

The previous prime is 2242064602417. The next prime is 2242064602441.

2242064602422 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 6 + 4 + 602 + 42 + 2 = 666.

2242064602422 is nontrivially palindromic in base 10.

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, 22031797 + ... + 22133327.

It is an arithmetic number, because the mean of its divisors is an integer number (52815118824).

Almost surely, 22242064602422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242064602422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535125703552).

2242064602422 is an abundant number, since it is smaller than the sum of its proper divisors (2828186804682).

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

2242064602422 is a wasteful number, since it uses less digits than its factorization.

2242064602422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102114 (or 102111 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2242064602422 in words is "two trillion, two hundred forty-two billion, sixty-four million, six hundred two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 467 639 666 934 1278 1401 2627 2802 4203 5254 7881 8406 15762 17279 23643 33157 34558 47286 51837 66314 99471 101531 103674 155511 198942 203062 298413 304593 311022 596826 609186 913779 1226809 1827558 2453618 3680427 3756647 7208701 7360854 7513294 11041281 11269941 14417402 21626103 22082562 22539882 33809823 43252206 47414977 64878309 67619646 94829954 129756618 142244931 266721937 284489862 426734793 533443874 800165811 853469586 1600331622 1754354149 2400497433 3366463367 3508708298 4800994866 5263062447 6732926734 10099390101 10526124894 15789187341 20198780202 30298170303 31578374682 60596340606 124559144579 249118289158 373677433737 747354867474 1121032301211 2242064602422