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226607000 = 2353415527
BaseRepresentation
bin11011000000110…
…11111110011000
3120210101211100212
431200123332120
5431002411000
634252550252
75421061544
oct1540337630
9523354325
10226607000
11106a06214
1263a82388
1337c41aa9
142214aa24
1514d62c35
hexd81bf98

226607000 has 64 divisors (see below), whose sum is σ = 543291840. Its totient is φ = 88416000.

The previous prime is 226606999. The next prime is 226607011. The reversal of 226607000 is 706622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38237 + ... + 43763.

It is an arithmetic number, because the mean of its divisors is an integer number (8488935).

Almost surely, 2226607000 is an apocalyptic number.

226607000 is a gapful number since it is divisible by the number (20) 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 226607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271645920).

226607000 is an abundant number, since it is smaller than the sum of its proper divisors (316684840).

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

226607000 is a wasteful number, since it uses less digits than its factorization.

226607000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 226607000 is about 15053.4713604537. The cubic root of 226607000 is about 609.6647804323.

The spelling of 226607000 in words is "two hundred twenty-six million, six hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 5527 8200 10250 11054 20500 22108 27635 41000 44216 55270 110540 138175 221080 226607 276350 453214 552700 690875 906428 1105400 1133035 1381750 1812856 2266070 2763500 4532140 5527000 5665175 9064280 11330350 22660700 28325875 45321400 56651750 113303500 226607000