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2171988 = 2233713217
BaseRepresentation
bin1000010010010001010100
311002100102000
420102101110
51024000423
6114315300
724314220
oct10222124
94070360
102171988
111253935
12888b30
135b0800
14407780
152cd843
hex212454

2171988 has 144 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 539136.

The previous prime is 2171977. The next prime is 2171989. The reversal of 2171988 is 8891712.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (8064) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127756 + ... + 127772.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

22171988 is an apocalyptic number.

2171988 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 2171988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2171988 is an abundant number, since it is smaller than the sum of its proper divisors (5206572).

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

2171988 is a wasteful number, since it uses less digits than its factorization.

2171988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 2171988 is about 1473.7666029599. The cubic root of 2171988 is about 129.5047825984.

The spelling of 2171988 in words is "two million, one hundred seventy-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 27 28 34 36 39 42 51 52 54 63 68 78 84 91 102 108 117 119 126 153 156 169 182 189 204 221 234 238 252 273 306 338 351 357 364 378 442 459 468 476 507 546 612 663 676 702 714 756 819 884 918 1014 1071 1092 1183 1326 1404 1428 1521 1547 1638 1836 1989 2028 2142 2366 2457 2652 2873 3042 3094 3213 3276 3549 3978 4284 4563 4641 4732 4914 5746 5967 6084 6188 6426 7098 7956 8619 9126 9282 9828 10647 11492 11934 12852 13923 14196 17238 18252 18564 20111 21294 23868 25857 27846 31941 34476 40222 41769 42588 51714 55692 60333 63882 77571 80444 83538 103428 120666 127764 155142 167076 180999 241332 310284 361998 542997 723996 1085994 2171988