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10223840 = 2551137157
BaseRepresentation
bin100111000000…
…000011100000
3201020102110202
4213000003200
510104130330
61003044332
7152621054
oct47000340
921212422
1010223840
115853360
1235106a8
13216c713
141501c64
15d6e445
hex9c00e0

10223840 has 96 divisors (see below), whose sum is σ = 27234144. Its totient is φ = 3594240.

The previous prime is 10223839. The next prime is 10223861. The reversal of 10223840 is 4832201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65042 + ... + 65198.

It is an arithmetic number, because the mean of its divisors is an integer number (283689).

Almost surely, 210223840 is an apocalyptic number.

10223840 is a gapful number since it is divisible by the number (10) 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 10223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617072).

10223840 is an abundant number, since it is smaller than the sum of its proper divisors (17010304).

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

10223840 is a wasteful number, since it uses less digits than its factorization.

10223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10223840 is about 3197.4740030218. The cubic root of 10223840 is about 217.0391174428.

The spelling of 10223840 in words is "ten million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 157 160 176 185 220 296 314 352 370 407 440 592 628 740 785 814 880 1184 1256 1480 1570 1628 1727 1760 2035 2512 2960 3140 3256 3454 4070 5024 5809 5920 6280 6512 6908 8140 8635 11618 12560 13024 13816 16280 17270 23236 25120 27632 29045 32560 34540 46472 55264 58090 63899 65120 69080 92944 116180 127798 138160 185888 232360 255596 276320 319495 464720 511192 638990 929440 1022384 1277980 2044768 2555960 5111920 10223840