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9228240 = 2432571831
BaseRepresentation
bin100011001100…
…111111010000
3122100211202200
4203030333100
54330300430
6525443200
7141303330
oct43147720
918324680
109228240
11523334a
123110500
131bb14c8
1413230c0
15c24460
hex8ccfd0

9228240 has 120 divisors (see below), whose sum is σ = 35438208. Its totient is φ = 2108160.

The previous prime is 9228223. The next prime is 9228251. The reversal of 9228240 is 428229.

9228240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4125 + ... + 5955.

Almost surely, 29228240 is an apocalyptic number.

9228240 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 9228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719104).

9228240 is an abundant number, since it is smaller than the sum of its proper divisors (26209968).

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

9228240 is a wasteful number, since it uses less digits than its factorization.

9228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9228240 is about 3037.8018368551. The cubic root of 9228240 is about 209.7520884001.

The spelling of 9228240 in words is "nine million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 1831 2520 3662 5040 5493 7324 9155 10986 12817 14648 16479 18310 21972 25634 27465 29296 32958 36620 38451 43944 51268 54930 64085 65916 73240 76902 82395 87888 102536 109860 115353 128170 131832 146480 153804 164790 192255 205072 219720 230706 256340 263664 307608 329580 384510 439440 461412 512680 576765 615216 659160 769020 922824 1025360 1153530 1318320 1538040 1845648 2307060 3076080 4614120 9228240