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2231545631406 = 2371319211321551
BaseRepresentation
bin100000011110010010011…
…111000001001010101110
321220100000020210122112020
4200132102133001022232
5243030201140201111
64425054035251010
7320136531616650
oct40362237011256
97810006718466
102231545631406
11790436372843
123005a4149a66
13132584226720
147a01639a6d0
153d0aaada906
hex207927c12ae

2231545631406 has 96 divisors (see below), whose sum is σ = 5797359203328. Its totient is φ = 557563694400.

The previous prime is 2231545631321. The next prime is 2231545631407. The reversal of 2231545631406 is 6041365451322.

It is a super-3 number, since 3×22315456314063 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231545631407) by changing a digit.

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, 5463670 + ... + 5857881.

It is an arithmetic number, because the mean of its divisors is an integer number (60389158368).

Almost surely, 22231545631406 is an apocalyptic number.

2231545631406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2231545631406 is an abundant number, since it is smaller than the sum of its proper divisors (3565813571922).

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

2231545631406 is a wasteful number, since it uses less digits than its factorization.

2231545631406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321614 (or 11321595 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2231545631406 in words is "two trillion, two hundred thirty-one billion, five hundred forty-five million, six hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 361 399 494 546 722 741 798 1083 1482 1729 2166 2527 3458 4693 5054 5187 7581 9386 10374 14079 15162 28158 32851 65702 98553 197106 11321551 22643102 33964653 67929306 79250857 147180163 158501714 215109469 237752571 294360326 430218938 441540489 475505142 645328407 883080978 1030261141 1290656814 1505766283 2060522282 2796423097 3011532566 3090783423 4087079911 4517298849 5592846194 6181566846 8174159822 8389269291 9034597698 12261239733 16778538582 19574961679 24522479466 28609559377 39149923358 53132038843 57219118754 58724885037 85828678131 106264077686 117449770074 159396116529 171657356262 318792233058 371924271901 743848543802 1115772815703 2231545631406