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10212144 = 243316863
BaseRepresentation
bin100110111101…
…001100110000
3201012211102120
4212331030300
510103242034
61002514240
7152542005
oct46751460
921184376
1010212144
115845598
123505980
1321672b7
1414db8ac
15d6ac49
hex9bd330

10212144 has 40 divisors (see below), whose sum is σ = 27236352. Its totient is φ = 3293760.

The previous prime is 10212131. The next prime is 10212151. The reversal of 10212144 is 44121201.

10212144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1944 + ... + 4919.

Almost surely, 210212144 is an apocalyptic number.

It is an amenable number.

10212144 is an abundant number, since it is smaller than the sum of its proper divisors (17024208).

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

10212144 is a wasteful number, since it uses less digits than its factorization.

10212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10212144 is about 3195.6445359270. The cubic root of 10212144 is about 216.9563221286.

Adding to 10212144 its reverse (44121201), we get a palindrome (54333345).

It can be divided in two parts, 102 and 12144, that added together give a triangular number (12246 = T156).

The spelling of 10212144 in words is "ten million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 6863 13726 20589 27452 41178 54904 82356 109808 164712 212753 329424 425506 638259 851012 1276518 1702024 2553036 3404048 5106072 10212144