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220023232212032 = 261711316191105387
BaseRepresentation
bin110010000001110000100110…
…100110010010110001000000
31001212001000102100121012211122
4302001300212212102301000
5212314330034421241112
62055541135534331412
764226103543024134
oct6201604646226100
91055030370535748
10220023232212032
1164119368654117
1220815b87359b68
1395a0142786b32
143c492775393c4
151a68498803872
hexc81c26992c40

220023232212032 has 112 divisors (see below), whose sum is σ = 466671025650240. Its totient is φ = 102560578240512.

The previous prime is 220023232212013. The next prime is 220023232212061. The reversal of 220023232212032 is 230212232320022.

It is a junction number, because it is equal to n+sod(n) for n = 220023232211992 and 220023232212010.

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 15 ways as a sum of consecutive naturals, for example, 198493643 + ... + 199599029.

Almost surely, 2220023232212032 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 220023232212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233335512825120).

220023232212032 is an abundant number, since it is smaller than the sum of its proper divisors (246647793438208).

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

220023232212032 is a wasteful number, since it uses less digits than its factorization.

220023232212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107148 (or 1107138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 220023232212032 its reverse (230212232320022), we get a palindrome (450235464532054).

The spelling of 220023232212032 in words is "two hundred twenty trillion, twenty-three billion, two hundred thirty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 226 272 452 544 904 1088 1619 1808 1921 3238 3616 3842 6476 7232 7684 12952 15368 25904 27523 30736 51808 55046 61472 103616 110092 122944 182947 220184 365894 440368 731788 880736 1105387 1463576 1761472 2210774 2927152 3110099 4421548 5854304 6220198 8843096 11708608 12440396 17686192 18791579 24880792 35372384 37583158 49761584 70744768 75166316 99523168 124908731 150332632 199046336 249817462 300665264 499634924 601330528 999269848 1202661056 1789621553 1998539696 2123448427 3579243106 3997079392 4246896854 7158486212 7994158784 8493793708 14316972424 16987587416 28633944848 30423566401 33975174832 57267889696 60847132802 67950349664 114535779392 121694265604 135900699328 202227235489 243388531208 404454470978 486777062416 808908941956 973554124832 1617817883912 1947108249664 3235635767824 3437863003313 6471271535648 6875726006626 12942543071296 13751452013252 27502904026504 55005808053008 110011616106016 220023232212032