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226203032 = 231131283293
BaseRepresentation
bin11010111101110…
…01010110011000
3120202122022020002
431132321112120
5430401444112
634240152132
75414460026
oct1536712630
9522568202
10226203032
1110675a760
1263908648
1337b2cc63
1422083716
1514cd31c2
hexd7b9598

226203032 has 64 divisors (see below), whose sum is σ = 480936960. Its totient is φ = 98812800.

The previous prime is 226203031. The next prime is 226203059. The reversal of 226203032 is 230302622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226202995 and 226203013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226203031) 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, 771878 + ... + 772170.

It is an arithmetic number, because the mean of its divisors is an integer number (7514640).

Almost surely, 2226203032 is an apocalyptic number.

226203032 is a gapful number since it is divisible by the number (22) 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 226203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240468480).

226203032 is an abundant number, since it is smaller than the sum of its proper divisors (254733928).

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

226203032 is a wasteful number, since it uses less digits than its factorization.

226203032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 226203032 is about 15040.0476063076. The cubic root of 226203032 is about 609.3022856633.

Adding to 226203032 its reverse (230302622), we get a palindrome (456505654).

It can be divided in two parts, 22620 and 3032, that added together give a palindrome (25652).

The spelling of 226203032 in words is "two hundred twenty-six million, two hundred three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 283 293 341 566 586 682 1132 1172 1364 2264 2344 2728 3113 3223 6226 6446 8773 9083 12452 12892 17546 18166 24904 25784 35092 36332 70184 72664 82919 96503 99913 165838 193006 199826 331676 386012 399652 663352 772024 799304 912109 1824218 2570489 3648436 5140978 7296872 10281956 20563912 28275379 56550758 113101516 226203032