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220069857792 = 2931307109621
BaseRepresentation
bin1100110011110100101…
…1111000101000000000
3210001001001021002121210
43030331023320220000
512101200340422132
6245033152450120
721620351632641
oct3147513705000
9701031232553
10220069857792
1185370774434
1236798b49940
13179a2315985
14a91978d6c8
155ad03ddbcc
hex333d2f8a00

220069857792 has 80 divisors (see below), whose sum is σ = 586733776992. Its totient is φ = 73299824640.

The previous prime is 220069857773. The next prime is 220069857797. The reversal of 220069857792 is 297758960022.

It is a happy number.

It is a super-2 number, since 2×2200698577922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220069857797) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1952742 + ... + 2062362.

Almost surely, 2220069857792 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 220069857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293366888496).

220069857792 is an abundant number, since it is smaller than the sum of its proper divisors (366663919200).

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

220069857792 is a wasteful number, since it uses less digits than its factorization.

220069857792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110949 (or 110933 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 220069857792 in words is "two hundred twenty billion, sixty-nine million, eight hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1307 1536 2614 3921 5228 7842 10456 15684 20912 31368 41824 62736 83648 109621 125472 167296 219242 250944 328863 334592 438484 501888 657726 669184 876968 1003776 1315452 1753936 2007552 2630904 3507872 5261808 7015744 10523616 14031488 21047232 28062976 42094464 56125952 84188928 143274647 168377856 286549294 429823941 573098588 859647882 1146197176 1719295764 2292394352 3438591528 4584788704 6877183056 9169577408 13754366112 18339154816 27508732224 36678309632 55017464448 73356619264 110034928896 220069857792