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2252024 = 231729571
BaseRepresentation
bin1000100101110011111000
311020102012022
420211303320
51034031044
6120134012
725066445
oct10456370
94212168
102252024
1112a8a85
12907308
1360b078
144289cc
152e73ee
hex225cf8

2252024 has 32 divisors (see below), whose sum is σ = 4633200. Its totient is φ = 1021440.

The previous prime is 2252017. The next prime is 2252087. The reversal of 2252024 is 4202522.

2252024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22520242 = 10143224193152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2251993 and 2252011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3659 + ... + 4229.

22252024 is an apocalyptic number.

It is an amenable number.

2252024 is an abundant number, since it is smaller than the sum of its proper divisors (2381176).

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

2252024 is a wasteful number, since it uses less digits than its factorization.

2252024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2252024 is about 1500.6745150098. The cubic root of 2252024 is about 131.0763496427.

Adding to 2252024 its reverse (4202522), we get a palindrome (6454546).

The spelling of 2252024 in words is "two million, two hundred fifty-two thousand, twenty-four".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 571 986 1142 1972 2284 3944 4568 9707 16559 19414 33118 38828 66236 77656 132472 281503 563006 1126012 2252024