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3222444141 = 35723312657
BaseRepresentation
bin1100000000010010…
…1001100001101101
322022120121010100000
43000010221201231
523044421203031
61251432054513
7142566215610
oct30004514155
98276533300
103222444141
111403a92a84
1275b234439
133c47c95a7
14227d8c177
1513cd833e6
hexc012986d

3222444141 has 96 divisors (see below), whose sum is σ = 5944393728. Its totient is φ = 1703877120.

The previous prime is 3222444131. The next prime is 3222444157. The reversal of 3222444141 is 1414442223.

3222444141 is a `hidden beast` number, since 3 + 2 + 2 + 244 + 414 + 1 = 666.

It is not a de Polignac number, because 3222444141 - 27 = 3222444013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222444131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211485 + ... + 1214141.

It is an arithmetic number, because the mean of its divisors is an integer number (61920768).

Almost surely, 23222444141 is an apocalyptic number.

3222444141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3222444141 is a deficient number, since it is larger than the sum of its proper divisors (2721949587).

3222444141 is a wasteful number, since it uses less digits than its factorization.

3222444141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2721 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3222444141 is about 56766.5759140007. The cubic root of 3222444141 is about 1477.0497811427.

Adding to 3222444141 its reverse (1414442223), we get a palindrome (4636886364).

The spelling of 3222444141 in words is "three billion, two hundred twenty-two million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 23 27 31 63 69 81 93 161 189 207 217 243 279 483 567 621 651 713 837 1449 1701 1863 1953 2139 2511 2657 4347 4991 5589 5859 6417 7533 7971 13041 14973 17577 18599 19251 23913 39123 44919 52731 55797 57753 61111 71739 82367 134757 167391 173259 183333 215217 247101 404271 427777 502173 549999 576569 645651 741303 1212813 1283331 1506519 1649997 1729707 1894441 2223909 3849993 4519557 4949991 5189121 5683323 6671727 11549979 13261087 14849973 15567363 17049969 20015181 34649937 39783261 46702089 51149907 103949811 119349783 140106267 153449721 358049349 460349163 1074148047 3222444141