Search a number
-
+
2198221059816 = 233319951140449
BaseRepresentation
bin11111111111010000001…
…011110111011011101000
321210010222210202000022000
4133333100023313123220
5242003424042403231
64401503202131000
7314546652466365
oct37772013673350
97703883660260
102198221059816
11778295531991
122b6043950a60
1312c3a3158102
14785745bb46c
153c2aa1a86e6
hex1ffd02f76e8

2198221059816 has 64 divisors (see below), whose sum is σ = 6136854000000. Its totient is φ = 729058226688.

The previous prime is 2198221059803. The next prime is 2198221059817. The reversal of 2198221059816 is 6189501228912.

2198221059816 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 22 + 10 + 598 + 16 = 666.

It is a super-3 number, since 3×21982210598163 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2198221059817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25527241 + ... + 25613208.

It is an arithmetic number, because the mean of its divisors is an integer number (95888343750).

Almost surely, 22198221059816 is an apocalyptic number.

It is an amenable number.

2198221059816 is an abundant number, since it is smaller than the sum of its proper divisors (3938632940184).

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

2198221059816 is a wasteful number, since it uses less digits than its factorization.

2198221059816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51140663 (or 51140653 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2198221059816 in words is "two trillion, one hundred ninety-eight billion, two hundred twenty-one million, fifty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 10746 14328 21492 42984 51140449 102280898 153421347 204561796 306842694 409123592 460264041 613685388 920528082 1227370776 1380792123 1841056164 2761584246 3682112328 5523168492 10176949351 11046336984 20353898702 30530848053 40707797404 61061696106 81415594808 91592544159 122123392212 183185088318 244246784424 274777632477 366370176636 549555264954 732740353272 1099110529908 2198221059816