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10225040 = 245719312
BaseRepresentation
bin100111000000…
…010110010000
3201020111010012
4213000112100
510104200130
61003054052
7152624420
oct47002620
921214105
1010225040
115854251
123511328
132170127
141502480
15d6e995
hex9c0590

10225040 has 120 divisors (see below), whose sum is σ = 29551680. Its totient is φ = 3214080.

The previous prime is 10225001. The next prime is 10225043. The reversal of 10225040 is 4052201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10225043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329825 + ... + 329855.

It is an arithmetic number, because the mean of its divisors is an integer number (246264).

Almost surely, 210225040 is an apocalyptic number.

10225040 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 10225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775840).

10225040 is an abundant number, since it is smaller than the sum of its proper divisors (19326640).

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

10225040 is a wasteful number, since it uses less digits than its factorization.

10225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10225040 is about 3197.6616456405. The cubic root of 10225040 is about 217.0476086018.

Adding to 10225040 its reverse (4052201), we get a palindrome (14277241).

The spelling of 10225040 in words is "ten million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 961 1064 1085 1178 1240 1330 1520 1736 1922 2128 2170 2356 2480 2660 2945 3472 3844 4123 4340 4712 4805 5320 5890 6727 7688 8246 8680 9424 9610 10640 11780 13454 15376 16492 17360 18259 19220 20615 23560 26908 32984 33635 36518 38440 41230 47120 53816 65968 67270 73036 76880 82460 91295 107632 127813 134540 146072 164920 182590 255626 269080 292144 329840 365180 511252 538160 639065 730360 1022504 1278130 1460720 2045008 2556260 5112520 10225040