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220010300220 = 223553261726437
BaseRepresentation
bin1100110011100110100…
…0101100001100111100
3210000212220012020222210
43030321220230030330
512101040114101340
6245023224140420
721616026460464
oct3147150541474
9700786166883
10220010300220
11853400959a7
1236781007710
1317992b921c9
14a9118c8ba4
155aca077180
hex3339a2c33c

220010300220 has 96 divisors (see below), whose sum is σ = 627915613248. Its totient is φ = 57538271232.

The previous prime is 220010300197. The next prime is 220010300227. The reversal of 220010300220 is 22003010022.

220010300220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220010300196 and 220010300205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010300227) 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 31 ways as a sum of consecutive naturals, for example, 8308842 + ... + 8335278.

It is an arithmetic number, because the mean of its divisors is an integer number (6540787638).

Almost surely, 2220010300220 is an apocalyptic number.

220010300220 is a gapful number since it is divisible by the number (20) 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 220010300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313957806624).

220010300220 is an abundant number, since it is smaller than the sum of its proper divisors (407905313028).

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

220010300220 is a wasteful number, since it uses less digits than its factorization.

220010300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29119 (or 29117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220010300220 its reverse (22003010022), we get a palindrome (242013310242).

The spelling of 220010300220 in words is "two hundred twenty billion, ten million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2617 3180 5234 7851 10468 13085 15702 26170 26437 31404 39255 52340 52874 78510 79311 105748 132185 138701 157020 158622 264370 277402 317244 396555 416103 528740 554804 693505 793110 832206 1387010 1401161 1586220 1664412 2080515 2774020 2802322 4161030 4203483 5604644 7005805 8322060 8406966 14011610 16813932 21017415 28023220 42034830 69185629 84069660 138371258 207556887 276742516 345928145 415113774 691856290 830227548 1037784435 1383712580 2075568870 3666838337 4151137740 7333676674 11000515011 14667353348 18334191685 22001030022 36668383370 44002060044 55002575055 73336766740 110005150110 220010300220