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400000224 = 25313320513
BaseRepresentation
bin10111110101111…
…000010011100000
31000212200010011010
4113311320103200
51304400001344
6103405220520
712624642261
oct2765702340
91025603133
10400000224
111958760a8
12b1b61740
1364b41730
143b1a4968
15251b38b9
hex17d784e0

400000224 has 48 divisors (see below), whose sum is σ = 1130773392. Its totient is φ = 123076608.

The previous prime is 400000193. The next prime is 400000261. The reversal of 400000224 is 422000004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159009 + ... + 161504.

It is an arithmetic number, because the mean of its divisors is an integer number (23557779).

Almost surely, 2400000224 is an apocalyptic number.

It is an amenable number.

400000224 is an abundant number, since it is smaller than the sum of its proper divisors (730773168).

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

400000224 is a wasteful number, since it uses less digits than its factorization.

400000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320539 (or 320531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400000224 is about 20000.0055999992. The cubic root of 400000224 is about 736.8064372652.

Adding to 400000224 its reverse (422000004), we get a palindrome (822000228).

The spelling of 400000224 in words is "four hundred million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 320513 641026 961539 1282052 1923078 2564104 3846156 4166669 5128208 7692312 8333338 10256416 12500007 15384624 16666676 25000014 30769248 33333352 50000028 66666704 100000056 133333408 200000112 400000224