Search a number
-
+
220212200211984 = 24321977762697413
BaseRepresentation
bin110010000100100000100101…
…111110000000011000010000
31001212201002011212020020021200
4302010200211332000120100
5212330424041223240414
62100204031014351200
764245543415356531
oct6204404576003020
91055632155206250
10220212200211984
1164191519110402
122084672435b500
1395b4bc9356216
143c544823ba688
151a6d3584b7109
hexc84825f80610

220212200211984 has 60 divisors (see below), whose sum is σ = 619416677452716. Its totient is φ = 73031457252096.

The previous prime is 220212200211961. The next prime is 220212200212019. The reversal of 220212200211984 is 489112002212022.

It is a happy number.

220212200211984 is a `hidden beast` number, since 2 + 20 + 212 + 200 + 211 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127326399210000 + 92885801001984 = 11283900^2 + 9637728^2 .

It is a super-4 number, since 4×2202122002119844 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3881320339 + ... + 3881377074.

Almost surely, 2220212200211984 is an apocalyptic number.

220212200211984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220212200211984 is an abundant number, since it is smaller than the sum of its proper divisors (399204477240732).

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

220212200211984 is a wasteful number, since it uses less digits than its factorization.

220212200211984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762697624 (or 7762697615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 220212200211984 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred million, two hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 7762697413 15525394826 23288092239 31050789652 46576184478 62101579304 69864276717 93152368956 124203158608 139728553434 186304737912 279457106868 372609475824 558914213736 1117828427472 1529251390361 3058502780722 4587754171083 6117005561444 9175508342166 12234011122888 13763262513249 18351016684332 24468022245776 27526525026498 36702033368664 55053050052996 73404066737328 110106100105992 220212200211984