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20293224 = 2337199607
BaseRepresentation
bin100110101101…
…0011001101000
31102012000001220
41031122121220
520143340344
62002542040
7334326630
oct115323150
942160056
1020293224
1110500666
126967920
134286a33
1429a36c0
151bacc19
hex135a668

20293224 has 64 divisors (see below), whose sum is σ = 58368000. Its totient is φ = 5759424.

The previous prime is 20293219. The next prime is 20293241. The reversal of 20293224 is 42239202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20293194 and 20293203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33129 + ... + 33735.

It is an arithmetic number, because the mean of its divisors is an integer number (912000).

Almost surely, 220293224 is an apocalyptic number.

20293224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20293224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29184000).

20293224 is an abundant number, since it is smaller than the sum of its proper divisors (38074776).

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

20293224 is a wasteful number, since it uses less digits than its factorization.

20293224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20293224 is about 4504.8001065530. The cubic root of 20293224 is about 272.7618849809.

It can be divided in two parts, 2029 and 3224, that added together give a triangular number (5253 = T102).

The spelling of 20293224 in words is "twenty million, two hundred ninety-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 607 796 1194 1214 1393 1592 1821 2388 2428 2786 3642 4179 4249 4776 4856 5572 7284 8358 8498 11144 12747 14568 16716 16996 25494 33432 33992 50988 101976 120793 241586 362379 483172 724758 845551 966344 1449516 1691102 2536653 2899032 3382204 5073306 6764408 10146612 20293224