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22031043045632 = 285927120872579
BaseRepresentation
bin1010000001001100000000…
…11111101010100100000000
32220000010222021021110121122
411000212000133222210000
510341424034004430012
6114504531011211412
74432455533041115
oct500460037524400
986003867243548
1022031043045632
1170243494a6535
12257991b8a6b68
13c3a69803c25a
145624458aa90c
15283128322e72
hex1409807ea900

22031043045632 has 144 divisors (see below), whose sum is σ = 44925327820800. Its totient is φ = 10779508131840.

The previous prime is 22031043045619. The next prime is 22031043045677. The reversal of 22031043045632 is 23654034013022.

It is a happy number.

It is a super-2 number, since 2×220310430456322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22031043045592 and 22031043045601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8542473719 + ... + 8542476297.

It is an arithmetic number, because the mean of its divisors is an integer number (311981443200).

Almost surely, 222031043045632 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 22031043045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462663910400).

22031043045632 is an abundant number, since it is smaller than the sum of its proper divisors (22894284775168).

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

22031043045632 is a wasteful number, since it uses less digits than its factorization.

22031043045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 22031043045632 its reverse (23654034013022), we get a palindrome (45685077058654).

The spelling of 22031043045632 in words is "twenty-two trillion, thirty-one billion, forty-three million, forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 271 472 542 944 1084 1888 2087 2168 2579 3776 4174 4336 5158 7552 8348 8672 10316 15104 15989 16696 17344 20632 31978 33392 34688 41264 63956 66784 69376 82528 123133 127912 133568 152161 165056 246266 255824 267136 304322 330112 492532 511648 534272 565577 608644 660224 698909 985064 1023296 1131154 1217288 1397818 1970128 2046592 2262308 2434576 2795636 3940256 4093184 4524616 4869152 5382373 5591272 7880512 9049232 9738304 10764746 11182544 15761024 18098464 19476608 21529492 22365088 31522048 33369043 36196928 38953216 41235631 43058984 44730176 66738086 72393856 82471262 86117968 89460352 133476172 144787712 164942524 172235936 178920704 266952344 317560007 329885048 344471872 533904688 635120014 659770096 688943744 1067809376 1270240028 1319540192 1377887488 1458623083 2135618752 2540480056 2639080384 2917246166 4271237504 5080960112 5278160768 5834492332 8542475008 10161920224 10556321536 11668984664 20323840448 23337969328 40647680896 46675938656 81295361792 86058761897 93351877312 172117523794 186703754624 344235047588 373407509248 688470095176 1376940190352 2753880380704 5507760761408 11015521522816 22031043045632