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219947868196 = 227213922412
BaseRepresentation
bin1100110011010111101…
…0100010000000100100
3210000201112201101100121
43030311322202000210
512100423123240241
6245013114051324
721614341014100
oct3146572420044
9700645641317
10219947868196
1185308923891
1236764119b44
1317982c73294
14a9074b6900
155ac4843ad1
hex3335ea2024

219947868196 has 81 divisors (see below), whose sum is σ = 452874537297. Its totient is φ = 93196897920.

The previous prime is 219947868139. The next prime is 219947868227. The reversal of 219947868196 is 691868749912.

The square root of 219947868196 is 468986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165416277796 + 54531590400 = 406714^2 + 233520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 912646636 + ... + 912646876.

Almost surely, 2219947868196 is an apocalyptic number.

219947868196 is the 468986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219947868196

219947868196 is an abundant number, since it is smaller than the sum of its proper divisors (232926669101).

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

219947868196 is an equidigital number, since it uses as much as digits as its factorization.

219947868196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 70.

The spelling of 219947868196 in words is "two hundred nineteen billion, nine hundred forty-seven million, eight hundred sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 139 196 241 278 482 556 964 973 1687 1946 3374 3892 6748 6811 11809 13622 19321 23618 27244 33499 38642 47236 58081 66998 77284 116162 133996 135247 232324 234493 270494 406567 468986 540988 813134 937972 946729 1626268 1641451 1893458 2845969 3282902 3786916 4656361 5691938 6565804 8073259 9312722 11383876 16146518 18625444 32293036 32594527 56512813 65189054 113025626 130378108 226051252 228161689 395589691 456323378 791179382 912646756 1122183001 1582358764 2244366002 4488732004 7855281007 15710562014 31421124028 54986967049 109973934098 219947868196