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22033240216056 = 23331791697335807
BaseRepresentation
bin1010000001010000000110…
…11101001101000111111000
32220000100122101122021211000
411000220003131031013320
510341443033443403211
6114505533020205000
74432564142503566
oct500500335150770
986010571567730
1022033240216056
117025276773163
12257a233699760
13c3a9582bc9b4
145625b360ca36
15283206181656
hex140a0374d1f8

22033240216056 has 128 divisors (see below), whose sum is σ = 61581814272000. Its totient is φ = 7299057724416.

The previous prime is 22033240216037. The next prime is 22033240216103. The reversal of 22033240216056 is 65061204233022.

22033240216056 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 2 + 40 + 2 + 1 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22033240216056.

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 31 ways as a sum of consecutive naturals, for example, 65444905 + ... + 65780711.

It is an arithmetic number, because the mean of its divisors is an integer number (481107924000).

Almost surely, 222033240216056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033240216056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30790907136000).

22033240216056 is an abundant number, since it is smaller than the sum of its proper divisors (39548574055944).

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

22033240216056 is a wasteful number, since it uses less digits than its factorization.

22033240216056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337698 (or 337688 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 22033240216056 its reverse (65061204233022), we get a palindrome (87094444449078).

The spelling of 22033240216056 in words is "twenty-two trillion, thirty-three billion, two hundred forty million, two hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1432 1611 1697 2148 3222 3394 4296 4833 5091 6444 6788 9666 10182 12888 13576 15273 19332 20364 30546 38664 40728 45819 61092 91638 122184 183276 303763 335807 366552 607526 671614 911289 1007421 1215052 1343228 1822578 2014842 2430104 2686456 2733867 3022263 3645156 4029684 5467734 6044526 7290312 8059368 8201601 9066789 10935468 12089052 16403202 18133578 21870936 24178104 32806404 36267156 60109453 65612808 72534312 120218906 180328359 240437812 360656718 480875624 540985077 569864479 721313436 1081970154 1139728958 1442626872 1622955231 1709593437 2163940308 2279457916 3245910462 3419186874 4327880616 4558915832 5128780311 6491820924 6838373748 10257560622 12983641848 13676747496 15386340933 20515121244 30772681866 41030242488 61545363732 102005741741 123090727464 204011483482 306017225223 408022966964 612034450446 816045933928 918051675669 1224068900892 1836103351338 2448137801784 2754155027007 3672206702676 5508310054014 7344413405352 11016620108028 22033240216056