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900226440 = 233352336241
BaseRepresentation
bin110101101010000…
…101110110001000
32022201221020112000
4311222011312020
53320424221230
6225154551000
731210540611
oct6552056610
92281836460
10900226440
114221774a3
12211598460
13114675789
14877b8c08
1554073b60
hex35a85d88

900226440 has 128 divisors (see below), whose sum is σ = 3131308800. Its totient is φ = 229616640.

The previous prime is 900226429. The next prime is 900226507. The reversal of 900226440 is 44622009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6720 + ... + 42960.

It is an arithmetic number, because the mean of its divisors is an integer number (24463350).

Almost surely, 2900226440 is an apocalyptic number.

900226440 is a gapful number since it is divisible by the number (90) 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 900226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565654400).

900226440 is an abundant number, since it is smaller than the sum of its proper divisors (2231082360).

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

900226440 is a wasteful number, since it uses less digits than its factorization.

900226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36284 (or 36274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 900226440 is about 30003.7737626453. The cubic root of 900226440 is about 965.5703501921.

Adding to 900226440 its reverse (44622009), we get a palindrome (944848449).

The spelling of 900226440 in words is "nine hundred million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 36241 72482 108723 144964 181205 217446 289928 326169 362410 434892 543615 652338 724820 833543 869784 978507 1087230 1304676 1449640 1630845 1667086 1957014 2174460 2500629 2609352 3261690 3334172 3914028 4167715 4348920 4892535 5001258 6523380 6668344 7501887 7828056 8335430 9785070 10002516 12503145 13046760 15003774 16670860 19570140 20005032 22505661 25006290 30007548 33341720 37509435 39140280 45011322 50012580 60015096 75018870 90022644 100025160 112528305 150037740 180045288 225056610 300075480 450113220 900226440