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2174086068 = 22371110492243
BaseRepresentation
bin1000000110010101…
…1110101110110100
312121111221000102020
42001211132232310
513423031223233
6555422113140
7104606266230
oct20145365664
95544830366
102174086068
11a16240050
1250811b7b0
1328855a47b
14168a535c0
15caced9b3
hex8195ebb4

2174086068 has 96 divisors (see below), whose sum is σ = 6333465600. Its totient is φ = 563907840.

The previous prime is 2174086051. The next prime is 2174086069. The reversal of 2174086068 is 8606804712.

2174086068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2174086069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968155 + ... + 970397.

It is an arithmetic number, because the mean of its divisors is an integer number (65973600).

Almost surely, 22174086068 is an apocalyptic number.

2174086068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2174086068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166732800).

2174086068 is an abundant number, since it is smaller than the sum of its proper divisors (4159379532).

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

2174086068 is a wasteful number, since it uses less digits than its factorization.

2174086068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2174086068 is about 46627.0958563795. The cubic root of 2174086068 is about 1295.4646827986.

The spelling of 2174086068 in words is "two billion, one hundred seventy-four million, eighty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1049 2098 2243 3147 4196 4486 6294 6729 7343 8972 11539 12588 13458 14686 15701 22029 23078 24673 26916 29372 31402 34617 44058 46156 47103 49346 62804 69234 74019 80773 88116 94206 98692 138468 148038 161546 172711 188412 242319 296076 323092 345422 484638 518133 690844 969276 1036266 2072532 2352907 4705814 7058721 9411628 14117442 16470349 25881977 28234884 32940698 49411047 51763954 65881396 77645931 98822094 103527908 155291862 181173839 197644188 310583724 362347678 543521517 724695356 1087043034 2174086068