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220205326062016 = 26192321293698203
BaseRepresentation
bin110010000100011010001100…
…001111001101000111000000
31001212200102102210022020021201
4302010122030033031013000
5212330321001432441031
62100200532533430544
764245211155145141
oct6204321417150700
91055612383266251
10220205326062016
1164189610903829
122084532619b454
1395b4372144b69
143c53dcd45dac8
151a6d0a4c5bd61
hexc8468c3cd1c0

220205326062016 has 112 divisors (see below), whose sum is σ = 480192558739200. Its totient is φ = 99725774303232.

The previous prime is 220205326061977. The next prime is 220205326062019. The reversal of 220205326062016 is 610260623502022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220205326062019) 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 15 ways as a sum of consecutive naturals, for example, 57694771 + ... + 61392973.

Almost surely, 2220205326062016 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 220205326062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240096279369600).

220205326062016 is an abundant number, since it is smaller than the sum of its proper divisors (259987232677184).

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

220205326062016 is a wasteful number, since it uses less digits than its factorization.

220205326062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700386 (or 3700376 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 220205326062016 its reverse (610260623502022), we get a palindrome (830465949564038).

The spelling of 220205326062016 in words is "two hundred twenty trillion, two hundred five billion, three hundred twenty-six million, sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 2129 3496 4258 6992 8516 13984 17032 27968 34064 40451 48967 68128 80902 97934 136256 161804 195868 323608 391736 647216 783472 930373 1294432 1566944 1860746 2588864 3133888 3698203 3721492 7396406 7442984 14792812 14885968 29585624 29771936 59171248 59543872 70265857 85058669 118342496 140531714 170117338 236684992 281063428 340234676 562126856 680469352 1124253712 1360938704 1616114711 2248507424 2721877408 3232229422 4497014848 5443754816 6464458844 7873474187 12928917688 15746948374 25857835376 31493896748 51715670752 62987793496 103431341504 125975586992 149596009553 181089906301 251951173984 299192019106 362179812602 503902347968 598384038212 724359625204 1196768076424 1448719250408 2393536152848 2897438500816 3440708219719 4787072305696 5794877001632 6881416439438 9574144611392 11589754003264 13762832878876 27525665757752 55051331515504 110102663031008 220205326062016