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225232434 = 23374114533
BaseRepresentation
bin11010110110011…
…00011000110010
3120200210222211000
431123030120302
5430124414214
634203302430
75403305220
oct1533143062
9520728730
10225232434
11106157509
126351aa16
133788023b
1421cadb10
1514b90809
hexd6cc632

225232434 has 64 divisors (see below), whose sum is σ = 586010880. Its totient is φ = 62778240.

The previous prime is 225232421. The next prime is 225232451. The reversal of 225232434 is 434232522.

It is a happy number.

225232434 is a `hidden beast` number, since 225 + 2 + 3 + 2 + 434 = 666.

225232434 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225232398 and 225232407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8232 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (9156420).

Almost surely, 2225232434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225232434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293005440).

225232434 is an abundant number, since it is smaller than the sum of its proper divisors (360778446).

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

225232434 is a wasteful number, since it uses less digits than its factorization.

225232434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14592 (or 14586 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 225232434 is about 15007.7458000860. The cubic root of 225232434 is about 608.4295660775.

Adding to 225232434 its reverse (434232522), we get a palindrome (659464956).

The spelling of 225232434 in words is "two hundred twenty-five million, two hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 7749 14533 15498 29066 43599 87198 101731 130797 203462 261594 305193 392391 595853 610386 784782 915579 1191706 1787559 1831158 2746737 3575118 4170971 5362677 5493474 8341942 10725354 12512913 16088031 25025826 32176062 37538739 75077478 112616217 225232434