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226858632 = 2337211131971
BaseRepresentation
bin11011000010110…
…01011010001000
3120210212121112120
431201121122020
5431033434012
634302211240
75423160300
oct1541313210
9523777476
10226858632
11107068280
1263b83b20
1337ccc4a0
14221b4600
1514db258c
hexd859688

226858632 has 384 divisors, whose sum is σ = 827366400. Its totient is φ = 50803200.

The previous prime is 226858631. The next prime is 226858649. The reversal of 226858632 is 236858622.

It is a super-2 number, since 2×2268586322 = 102929677825822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (226858631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3195157 + ... + 3195227.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2226858632 is an apocalyptic number.

226858632 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 226858632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

226858632 is an abundant number, since it is smaller than the sum of its proper divisors (600507768).

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

226858632 is a wasteful number, since it uses less digits than its factorization.

226858632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 226858632 is about 15061.8269808148. The cubic root of 226858632 is about 609.8903610171.

It can be divided in two parts, 226 and 858632, that added together give a palindrome (858858).

The spelling of 226858632 in words is "two hundred twenty-six million, eight hundred fifty-eight thousand, six hundred thirty-two".