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220482347064 = 23372192519349
BaseRepresentation
bin1100110101010111000…
…1011010000000111000
3210002002210102201112020
43031111301122000320
512103021440101224
6245142125514440
721633521012400
oct3152561320070
9702083381466
10220482347064
118556259a761
1236893112a20
1317a3990ab75
14a958485800
155b0671cc79
hex3355c5a038

220482347064 has 144 divisors (see below), whose sum is σ = 676723437000. Its totient is φ = 59679317376.

The previous prime is 220482347053. The next prime is 220482347101. The reversal of 220482347064 is 460743284022.

It is a super-2 number, since 2×2204823470642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 164862 + ... + 684210.

Almost surely, 2220482347064 is an apocalyptic number.

220482347064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220482347064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338361718500).

220482347064 is an abundant number, since it is smaller than the sum of its proper divisors (456241089936).

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

220482347064 is a wasteful number, since it uses less digits than its factorization.

220482347064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519410 (or 519380 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 220482347064 in words is "two hundred twenty billion, four hundred eighty-two million, three hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 361 392 399 456 532 588 722 798 931 1064 1083 1176 1444 1596 1862 2166 2527 2793 2888 3192 3724 4332 5054 5586 7448 7581 8664 10108 11172 15162 17689 20216 22344 30324 35378 53067 60648 70756 106134 141512 212268 424536 519349 1038698 1558047 2077396 3116094 3635443 4154792 6232188 7270886 9867631 10906329 12464376 14541772 19735262 21812658 25448101 29083544 29602893 39470524 43625316 50896202 59205786 69073417 76344303 78941048 87250632 101792404 118411572 138146834 152688606 187484989 203584808 207220251 236823144 276293668 305377212 374969978 414440502 483513919 552587336 562454967 610754424 749939956 828881004 967027838 1124909934 1312394923 1450541757 1499879912 1657762008 1934055676 2249819868 2624789846 2901083514 3868111352 3937184769 4499639736 5249579692 5802167028 7874369538 9186764461 10499159384 11604334056 15748739076 18373528922 27560293383 31497478152 36747057844 55120586766 73494115688 110241173532 220482347064