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2190916 = 227132463
BaseRepresentation
bin1000010110111001000100
311010022101001
420112321010
51030102131
6114543044
724423340
oct10267104
94108331
102190916
111267082
12897a84
135b9300
14410620
152d4261
hex216e44

2190916 has 36 divisors (see below), whose sum is σ = 4755072. Its totient is φ = 864864.

The previous prime is 2190901. The next prime is 2190959. The reversal of 2190916 is 6190912.

2190916 = T55 + T56 + ... + T236.

It is a super-2 number, since 2×21909162 = 9600225838112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4501 + ... + 4963.

22190916 is an apocalyptic number.

2190916 is a gapful number since it is divisible by the number (26) 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 2190916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377536).

2190916 is an abundant number, since it is smaller than the sum of its proper divisors (2564156).

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

2190916 is a wasteful number, since it uses less digits than its factorization.

2190916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 2190916 is about 1480.1743140590. The cubic root of 2190916 is about 129.8798890600.

The spelling of 2190916 in words is "two million, one hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 463 676 926 1183 1852 2366 3241 4732 6019 6482 12038 12964 24076 42133 78247 84266 156494 168532 312988 547729 1095458 2190916