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2194172964 = 22323722112
BaseRepresentation
bin1000001011001000…
…0110110000100100
312122220201112110100
42002302012300210
513443202013324
61001420424100
7105242106504
oct20262066044
95586645410
102194172964
11a2660a695
125129a8030
1328c7712c9
1416b5a1a04
15cc96a4c9
hex82c86c24

2194172964 has 81 divisors (see below), whose sum is σ = 5727479121. Its totient is φ = 708251040.

The previous prime is 2194172947. The next prime is 2194172971. The reversal of 2194172964 is 4692714912.

The square root of 2194172964 is 46842.

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., 1963376100 + 230796864 = 44310^2 + 15192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10398819 + ... + 10399029.

Almost surely, 22194172964 is an apocalyptic number.

2194172964 is the 46842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2194172964

2194172964 is an abundant number, since it is smaller than the sum of its proper divisors (3533306157).

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

2194172964 is a wasteful number, since it uses less digits than its factorization.

2194172964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 2194172964 is about 1299.4421598717.

The spelling of 2194172964 in words is "two billion, one hundred ninety-four million, one hundred seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 211 222 333 422 444 633 666 844 1266 1332 1369 1899 2532 2738 3798 4107 5476 7596 7807 8214 12321 15614 16428 23421 24642 31228 44521 46842 49284 70263 89042 93684 133563 140526 178084 267126 281052 288859 400689 534252 577718 801378 866577 1155436 1602756 1647277 1733154 2599731 3294554 3466308 4941831 5199462 6589108 9883662 10398924 14825493 19767324 29650986 59301972 60949249 121898498 182847747 243796996 365695494 548543241 731390988 1097086482 2194172964