Search a number
-
+
2285172 = 22352351
BaseRepresentation
bin1000101101111001110100
311022002200000
420231321310
51041111142
6120551300
725265211
oct10557164
94262600
102285172
11132097a
12922530
13620196
14436b08
1530214c
hex22de74

2285172 has 36 divisors (see below), whose sum is σ = 5992896. Its totient is φ = 761400.

The previous prime is 2285167. The next prime is 2285189. The reversal of 2285172 is 2715822.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22851722 = 10444022139168, which contains 22 as substring.

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

It is a congruent number.

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, 204 + ... + 2147.

22285172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996448).

2285172 is an abundant number, since it is smaller than the sum of its proper divisors (3707724).

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

2285172 is a wasteful number, since it uses less digits than its factorization.

2285172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2356 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2285172 is about 1511.6785372559. The cubic root of 2285172 is about 131.7163329871.

The spelling of 2285172 in words is "two million, two hundred eighty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2351 4702 7053 9404 14106 21159 28212 42318 63477 84636 126954 190431 253908 380862 571293 761724 1142586 2285172