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220346989643022 = 231123780591017859
BaseRepresentation
bin110010000110011110001000…
…000010111000010100001110
31001220011222002120022210011020
4302012132020002320110032
5212340131113322034042
62100350002023535010
764261354546544634
oct6206361002702416
91056158076283136
10220346989643022
11642336a7245a00
1220868880bba466
1395c482a5717c8
143c5abcb9b3354
151a71ae6a3b3ec
hexc867880b850e

220346989643022 has 96 divisors (see below), whose sum is σ = 497553256636800. Its totient is φ = 64959046130880.

The previous prime is 220346989643021. The next prime is 220346989643117.

220346989643022 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220346989643021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 215971929 + ... + 216989787.

It is an arithmetic number, because the mean of its divisors is an integer number (5182846423300).

Almost surely, 2220346989643022 is an apocalyptic number.

220346989643022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220346989643022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248776628318400).

220346989643022 is an abundant number, since it is smaller than the sum of its proper divisors (277206266993778).

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

220346989643022 is a wasteful number, since it uses less digits than its factorization.

220346989643022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025982 (or 1025971 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 220346989643022 in words is "two hundred twenty trillion, three hundred forty-six billion, nine hundred eighty-nine million, six hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8059 8954 13431 16118 24177 26862 48354 88649 177298 265947 298183 531894 596366 894549 975139 1017859 1789098 1950278 2035718 2925417 3053577 3280013 5850834 6107154 6560026 9840039 11196449 19680078 22392898 33589347 36080143 37660783 67178694 72160286 75321566 108240429 112982349 123160939 216480858 225964698 246321878 369482817 414268613 738965634 828537226 1242805839 2485611678 4556954743 8202925681 9113909486 13670864229 16405851362 24608777043 27341728458 49217554086 90232182491 180464364982 270696547473 303508250197 541393094946 607016500394 910524750591 992554007401 1821049501182 1985108014802 2977662022203 3338590752167 5955324044406 6677181504334 10015772256501 20031544513002 36724498273837 73448996547674 110173494821511 220346989643022