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203135472 = 24334311091
BaseRepresentation
bin11000001101110…
…01100111110000
3112011020100111000
430012321213300
5404000313342
632053522000
75014423461
oct1406714760
9464210430
10203135472
11a4734761
1258043300
1333114507
141cd9ad68
1512c7844c
hexc1b99f0

203135472 has 80 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 67492800.

The previous prime is 203135417. The next prime is 203135477. The reversal of 203135472 is 274531302.

203135472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203135477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185647 + ... + 186737.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2203135472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

203135472 is an abundant number, since it is smaller than the sum of its proper divisors (381827088).

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

203135472 is a wasteful number, since it uses less digits than its factorization.

203135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 203135472 is about 14252.5601910674. The cubic root of 203135472 is about 587.8437735727.

Adding to 203135472 its reverse (274531302), we get a palindrome (477666774).

The spelling of 203135472 in words is "two hundred three million, one hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 862 1091 1293 1724 2182 2586 3273 3448 3879 4364 5172 6546 6896 7758 8728 9819 10344 11637 13092 15516 17456 19638 20688 23274 26184 29457 31032 39276 46548 52368 58914 62064 78552 93096 117828 157104 186192 235656 470221 471312 940442 1410663 1880884 2821326 3761768 4231989 5642652 7523536 8463978 11285304 12695967 16927956 22570608 25391934 33855912 50783868 67711824 101567736 203135472