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2182031964 = 2232747184231
BaseRepresentation
bin1000001000001111…
…0010101001011100
312122001212201010200
42002003302221130
513432100010324
61000304303500
7105033652140
oct20203625134
95561781120
102182031964
11a1a777a02
1250a911b90
1328a0b0098
14169b21220
15cb86cec9
hex820f2a5c

2182031964 has 72 divisors (see below), whose sum is σ = 6437803008. Its totient is φ = 610169760.

The previous prime is 2182031963. The next prime is 2182031981. The reversal of 2182031964 is 4691302812.

It is a super-2 number, since 2×21820319642 = 9522526983835394592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182031963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80272 + ... + 103959.

Almost surely, 22182031964 is an apocalyptic number.

It is an amenable number.

2182031964 is an abundant number, since it is smaller than the sum of its proper divisors (4255771044).

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

2182031964 is a wasteful number, since it uses less digits than its factorization.

2182031964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184295 (or 184290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2182031964 is about 46712.2249951766. The cubic root of 2182031964 is about 1297.0409946011.

The spelling of 2182031964 in words is "two billion, one hundred eighty-two million, thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 184231 368462 552693 736924 1105386 1289617 1658079 2210772 2579234 3316158 3868851 5158468 6632316 7737702 8658857 11606553 15475404 17317714 23213106 25976571 34635428 46426212 51953142 60611999 77929713 103906284 121223998 155859426 181835997 242447996 311718852 363671994 545507991 727343988 1091015982 2182031964