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226625024 = 292915263
BaseRepresentation
bin11011000001000…
…00011000000000
3120210102202002102
431200200120000
5431004000044
634253205532
75421165233
oct1540403000
9523382072
10226625024
11106a1880a
1263a908a8
1337c4a062
142215341a
1514d6824e
hexd820600

226625024 has 40 divisors (see below), whose sum is σ = 468452160. Its totient is φ = 109398016.

The previous prime is 226625017. The next prime is 226625033. The reversal of 226625024 is 420526622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7217 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2226625024 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 226625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234226080).

226625024 is an abundant number, since it is smaller than the sum of its proper divisors (241827136).

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

226625024 is an equidigital number, since it uses as much as digits as its factorization.

226625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15310 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 226625024 is about 15054.0700144512. The cubic root of 226625024 is about 609.6809439617.

The spelling of 226625024 in words is "two hundred twenty-six million, six hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 15263 30526 61052 122104 244208 442627 488416 885254 976832 1770508 1953664 3541016 3907328 7082032 7814656 14164064 28328128 56656256 113312512 226625024