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20008224 = 253269473
BaseRepresentation
bin100110001010…
…0110100100000
31101122112010100
41030110310200
520110230344
61552502400
7332032005
oct114246440
941575110
1020008224
1110326525
12684aa00
1341b70b2
14292b8ac
151b53569
hex1314d20

20008224 has 36 divisors (see below), whose sum is σ = 56899206. Its totient is φ = 6669312.

The previous prime is 20008223. The next prime is 20008243. The reversal of 20008224 is 42280002.

It can be written as a sum of positive squares in only one way, i.e., 16548624 + 3459600 = 4068^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 20008197 and 20008206.

It is not an unprimeable number, because it can be changed into a prime (20008223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34449 + ... + 35024.

Almost surely, 220008224 is an apocalyptic number.

20008224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20008224 is an abundant number, since it is smaller than the sum of its proper divisors (36890982).

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

20008224 is a wasteful number, since it uses less digits than its factorization.

20008224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69489 (or 69478 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20008224 is about 4473.0553316497. The cubic root of 20008224 is about 271.4789621785.

Adding to 20008224 its reverse (42280002), we get a palindrome (62288226).

The spelling of 20008224 in words is "twenty million, eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69473 138946 208419 277892 416838 555784 625257 833676 1111568 1250514 1667352 2223136 2501028 3334704 5002056 6669408 10004112 20008224