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226554024 = 23319691719
BaseRepresentation
bin11011000000011…
…11000010101000
3120210022010200210
431200033002220
5430444212044
634251501120
75420451234
oct1540170250
9523263623
10226554024
1110697a434
1263a577a0
1337c23948
14221355c4
1514d521b9
hexd80f0a8

226554024 has 64 divisors (see below), whose sum is σ = 597888000. Its totient is φ = 71340480.

The previous prime is 226554017. The next prime is 226554049. The reversal of 226554024 is 420455622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226553982 and 226554000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314737 + ... + 315455.

It is an arithmetic number, because the mean of its divisors is an integer number (9342000).

Almost surely, 2226554024 is an apocalyptic number.

226554024 is a gapful number since it is divisible by the number (24) 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 226554024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298944000).

226554024 is an abundant number, since it is smaller than the sum of its proper divisors (371333976).

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

226554024 is a wasteful number, since it uses less digits than its factorization.

226554024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 226554024 is about 15051.7116634621. The cubic root of 226554024 is about 609.6172677510.

The spelling of 226554024 in words is "two hundred twenty-six million, five hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 691 719 1382 1438 2073 2157 2764 2876 4146 4314 5528 5752 8292 8628 13129 13661 16584 17256 26258 27322 39387 40983 52516 54644 78774 81966 105032 109288 157548 163932 315096 327864 496829 993658 1490487 1987316 2980974 3974632 5961948 9439751 11923896 18879502 28319253 37759004 56638506 75518008 113277012 226554024