Search a number
-
+
2291632 = 24723779
BaseRepresentation
bin1000101111011110110000
311022102112021
420233132300
51041313012
6121041224
725323100
oct10573660
94272467
102291632
111325812
12926214
136230c5
14439200
15304007
hex22f7b0

2291632 has 60 divisors (see below), whose sum is σ = 5371680. Its totient is φ = 943488.

The previous prime is 2291629. The next prime is 2291657. The reversal of 2291632 is 2361922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2291597 and 2291606.

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, 28969 + ... + 29047.

It is an arithmetic number, because the mean of its divisors is an integer number (89528).

22291632 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 2291632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685840).

2291632 is an abundant number, since it is smaller than the sum of its proper divisors (3080048).

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

2291632 is a wasteful number, since it uses less digits than its factorization.

2291632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 2291632 is about 1513.8137269823. The cubic root of 2291632 is about 131.8403334228.

The spelling of 2291632 in words is "two million, two hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 79 98 112 148 158 196 259 296 316 392 518 553 592 632 784 1036 1106 1264 1813 2072 2212 2923 3626 3871 4144 4424 5846 7252 7742 8848 11692 14504 15484 20461 23384 29008 30968 40922 46768 61936 81844 143227 163688 286454 327376 572908 1145816 2291632