Search a number
-
+
2072224 = 25711292
BaseRepresentation
bin111111001111010100000
310220021120001
413321322200
51012302344
6112225344
723420320
oct7717240
93807501
102072224
111195990
1283b254
1357728b
143bd280
152aded4
hex1f9ea0

2072224 has 72 divisors (see below), whose sum is σ = 5267808. Its totient is φ = 779520.

The previous prime is 2072209. The next prime is 2072267. The reversal of 2072224 is 4222702.

2072224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20722242 = 8588224612352, which contains 22 as substring.

It is an Ulam number.

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, 71442 + ... + 71470.

It is an arithmetic number, because the mean of its divisors is an integer number (73164).

22072224 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 2072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633904).

2072224 is an abundant number, since it is smaller than the sum of its proper divisors (3195584).

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

2072224 is a wasteful number, since it uses less digits than its factorization.

2072224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2072224 is about 1439.5221429349. The cubic root of 2072224 is about 127.4908156911.

Adding to 2072224 its reverse (4222702), we get a palindrome (6294926).

The spelling of 2072224 in words is "two million, seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 841 928 1232 1276 1624 1682 2233 2464 2552 3248 3364 4466 5104 5887 6496 6728 8932 9251 10208 11774 13456 17864 18502 23548 26912 35728 37004 47096 64757 71456 74008 94192 129514 148016 188384 259028 296032 518056 1036112 2072224