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226625130 = 23251728713
BaseRepresentation
bin11011000001000…
…00011001101010
3120210102202020100
431200200121222
5431004001010
634253210230
75421165444
oct1540403152
9523382210
10226625130
11106a188a6
1263a90976
1337c4a114
1422153494
1514d682c0
hexd82066a

226625130 has 72 divisors (see below), whose sum is σ = 625996332. Its totient is φ = 56871936.

The previous prime is 226625123. The next prime is 226625131. The reversal of 226625130 is 31526622.

226625130 is a `hidden beast` number, since 2 + 2 + 6 + 625 + 1 + 30 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 212314041 + 14311089 = 14571^2 + 3783^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226625094 and 226625103.

It is not an unprimeable number, because it can be changed into a prime (226625131) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 21654 + ... + 30366.

Almost surely, 2226625130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226625130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312998166).

226625130 is an abundant number, since it is smaller than the sum of its proper divisors (399371202).

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

226625130 is a wasteful number, since it uses less digits than its factorization.

226625130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226625130 is about 15054.0735350934. The cubic root of 226625130 is about 609.6810390176.

The spelling of 226625130 in words is "two hundred twenty-six million, six hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 8713 13005 17426 26010 26139 43565 52278 78417 87130 130695 148121 156834 261390 296242 392085 444363 740605 784170 888726 1333089 1481210 2221815 2518057 2666178 4443630 5036114 6665445 7554171 12590285 13330890 15108342 22662513 25180570 37770855 45325026 75541710 113312565 226625130