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203252424 = 233192331913
BaseRepresentation
bin11000001110101…
…10001011001000
3112011110021220120
430013112023020
5404013034144
632100223240
75015421444
oct1407261310
9464407816
10203252424
11a4804611
125809ab20
133315580b
141cdcb824
1512c9ce19
hexc1d62c8

203252424 has 64 divisors (see below), whose sum is σ = 537451200. Its totient is φ = 63876096.

The previous prime is 203252407. The next prime is 203252437. The reversal of 203252424 is 424252302.

It is a happy number.

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 = 203252394 and 203252403.

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, 105292 + ... + 107204.

It is an arithmetic number, because the mean of its divisors is an integer number (8397675).

Almost surely, 2203252424 is an apocalyptic number.

203252424 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 203252424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268725600).

203252424 is an abundant number, since it is smaller than the sum of its proper divisors (334198776).

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

203252424 is a wasteful number, since it uses less digits than its factorization.

203252424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 203252424 is about 14256.6624425214. The cubic root of 203252424 is about 587.9565658139.

The spelling of 203252424 in words is "two hundred three million, two hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 233 456 466 699 932 1398 1864 1913 2796 3826 4427 5592 5739 7652 8854 11478 13281 15304 17708 22956 26562 35416 36347 45912 53124 72694 106248 109041 145388 218082 290776 436164 445729 872328 891458 1337187 1782916 2674374 3565832 5348748 8468851 10697496 16937702 25406553 33875404 50813106 67750808 101626212 203252424