Search a number
-
+
2290032 = 24351931
BaseRepresentation
bin1000101111000101110000
311022100100000
420233011300
51041240112
6121030000
725315323
oct10570560
94270300
102290032
111324598
12925300
13622464
144387ba
153037dc
hex22f170

2290032 has 120 divisors (see below), whose sum is σ = 7221760. Its totient is φ = 699840.

The previous prime is 2290031. The next prime is 2290033. The reversal of 2290032 is 2300922.

It is an interprime number because it is at equal distance from previous prime (2290031) and next prime (2290033).

It is a super-2 number, since 2×22900322 = 10488493122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2289987 and 2290014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73857 + ... + 73887.

22290032 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 2290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610880).

2290032 is an abundant number, since it is smaller than the sum of its proper divisors (4931728).

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

2290032 is a wasteful number, since it uses less digits than its factorization.

2290032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2290032 is about 1513.2851681028. The cubic root of 2290032 is about 131.8096429737.

Adding to 2290032 its reverse (2300922), we get a palindrome (4590954).

The spelling of 2290032 in words is "two million, two hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 81 93 108 114 124 144 152 162 171 186 216 228 243 248 279 304 324 342 372 432 456 486 496 513 558 589 648 684 744 837 912 972 1026 1116 1178 1296 1368 1488 1539 1674 1767 1944 2052 2232 2356 2511 2736 3078 3348 3534 3888 4104 4464 4617 4712 5022 5301 6156 6696 7068 7533 8208 9234 9424 10044 10602 12312 13392 14136 15066 15903 18468 20088 21204 24624 28272 30132 31806 36936 40176 42408 47709 60264 63612 73872 84816 95418 120528 127224 143127 190836 254448 286254 381672 572508 763344 1145016 2290032