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20835813222 = 234722990511
BaseRepresentation
bin10011011001111010…
…010100011101100110
31222210002020222110000
4103121322110131212
5320132432010342
613323303442130
71335221330100
oct233172243546
958702228400
1020835813222
118922300954
124055a56346
131c708b9783
1410192d4570
1581e31944c
hex4d9e94766

20835813222 has 120 divisors (see below), whose sum is σ = 56183513760. Its totient is φ = 5747747040.

The previous prime is 20835813149. The next prime is 20835813233. The reversal of 20835813222 is 22231853802.

It is a happy number.

20835813222 is a `hidden beast` number, since 20 + 8 + 3 + 581 + 32 + 22 = 666.

It is a super-2 number, since 2×208358132222 (a number of 21 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 184947 + ... + 275457.

It is an arithmetic number, because the mean of its divisors is an integer number (468195948).

Almost surely, 220835813222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20835813222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091756880).

20835813222 is an abundant number, since it is smaller than the sum of its proper divisors (35347700538).

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

20835813222 is a wasteful number, since it uses less digits than its factorization.

20835813222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90568 (or 90552 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20835813222 in words is "twenty billion, eight hundred thirty-five million, eight hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 81 87 98 126 147 162 174 189 203 261 294 378 406 441 522 567 609 783 882 1134 1218 1323 1421 1566 1827 2349 2646 2842 3654 3969 4263 4698 5481 7938 8526 10962 12789 16443 25578 32886 38367 76734 90511 115101 181022 230202 271533 543066 633577 814599 1267154 1629198 1900731 2443797 2624819 3801462 4435039 4887594 5249638 5702193 7331391 7874457 8870078 11404386 13305117 14662782 15748914 17106579 18373733 23623371 26610234 34213158 36747466 39915351 47246742 51319737 55121199 70870113 79830702 102639474 110242398 119746053 128616131 141740226 165363597 212610339 239492106 257232262 330727194 359238159 385848393 425220678 496090791 718476318 771696786 992181582 1157545179 1488272373 2315090358 2976544746 3472635537 6945271074 10417906611 20835813222