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220201840050 = 235211382915671
BaseRepresentation
bin1100110100010100001…
…1010110110110110010
3210001101020121111020120
43031011003112312302
512101433132340200
6245054225351110
721623543520603
oct3150503266662
9701336544216
10220201840050
118542921a685
1236815198496
13179c377679a
14a92d107daa
155adbcae9a0
hex33450d6db2

220201840050 has 96 divisors (see below), whose sum is σ = 551633086080. Its totient is φ = 58126924800.

The previous prime is 220201840049. The next prime is 220201840073. The reversal of 220201840050 is 50048102022.

220201840050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202018400502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220201840050.

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 47 ways as a sum of consecutive naturals, for example, 14043715 + ... + 14059385.

It is an arithmetic number, because the mean of its divisors is an integer number (5746177980).

Almost surely, 2220201840050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201840050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275816543040).

220201840050 is an abundant number, since it is smaller than the sum of its proper divisors (331431246030).

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

220201840050 is a wasteful number, since it uses less digits than its factorization.

220201840050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16628 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 220201840050 its reverse (50048102022), we get a palindrome (270249942072).

The spelling of 220201840050 in words is "two hundred twenty billion, two hundred one million, eight hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 829 1130 1658 1695 2487 2825 3390 4145 4974 5650 8290 8475 12435 15671 16950 20725 24870 31342 41450 47013 62175 78355 93677 94026 124350 156710 187354 235065 281031 391775 468385 470130 562062 783550 936770 1175325 1405155 1770823 2341925 2350650 2810310 3541646 4683850 5312469 7025775 8854115 10624938 12991259 14051550 17708230 25982518 26562345 38973777 44270575 53124690 64956295 77947554 88541150 129912590 132811725 194868885 265623450 324781475 389737770 649562950 974344425 1468012267 1948688850 2936024534 4404036801 7340061335 8808073602 14680122670 22020184005 36700306675 44040368010 73400613350 110100920025 220201840050