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2211233440014 = 2322921495031949
BaseRepresentation
bin100000001011010111110…
…010001010000100001110
321211101120122211102012100
4200023113302022010032
5242212101230040024
64411454314415530
7315520266056034
oct40132762120416
97741518742170
102211233440014
117828626a2805
122b86757315a6
13130697c72b71
147904a84a554
153c7bc7537c9
hex202d7c8a10e

2211233440014 has 144 divisors (see below), whose sum is σ = 5007709980000. Its totient is φ = 705117778176.

The previous prime is 2211233439991. The next prime is 2211233440063. The reversal of 2211233440014 is 4100443321122.

2211233440014 is a `hidden beast` number, since 2 + 2 + 11 + 233 + 4 + 400 + 14 = 666.

It is a super-2 number, since 2×22112334400142 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2211233440014.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1134546712 + ... + 1134548660.

It is an arithmetic number, because the mean of its divisors is an integer number (34775763750).

Almost surely, 22211233440014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211233440014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503854990000).

2211233440014 is an abundant number, since it is smaller than the sum of its proper divisors (2796476539986).

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

2211233440014 is a wasteful number, since it uses less digits than its factorization.

2211233440014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2635 counting only the distinct ones).

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

Adding to 2211233440014 its reverse (4100443321122), we get a palindrome (6311676761136).

The spelling of 2211233440014 in words is "two trillion, two hundred eleven billion, two hundred thirty-three million, four hundred forty thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 149 174 261 298 447 503 522 841 894 1006 1341 1509 1682 1949 2523 2682 3018 3898 4321 4527 5046 5847 7569 8642 9054 11694 12963 14587 15138 17541 25926 29174 35082 38889 43761 56521 74947 77778 87522 113042 125309 131283 149894 169563 224841 250618 262566 290401 339126 375927 423023 449682 508689 580802 674523 751854 846046 871203 980347 1017378 1127781 1269069 1349046 1639109 1742406 1960694 2173463 2255562 2538138 2613609 2941041 3278218 3807207 4346926 4917327 5227218 5882082 6520389 7614414 8421629 8823123 9834654 13040778 14751981 16843258 17646246 19561167 25264887 28430063 29503962 39122334 50529774 56860126 63030427 75794661 85290189 126060854 146071703 151589322 170580378 189091281 244227241 255870567 292143406 378182562 438215109 488454482 511741134 567273843 732681723 824471827 876430218 1134547686 1314645327 1465363446 1648943654 2198045169 2473415481 2629290654 4236079387 4396090338 4946830962 7420246443 8472158774 12708238161 14840492886 25416476322 38124714483 76249428966 122846302223 245692604446 368538906669 737077813338 1105616720007 2211233440014