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10225840 = 2451773103
BaseRepresentation
bin100111000000…
…100010110000
3201020112012211
4213000202300
510104211330
61003101504
7152626642
oct47004260
921215184
1010225840
115854909
123511894
1321705c1
141502892
15d6ed2a
hex9c08b0

10225840 has 80 divisors (see below), whose sum is σ = 25766208. Its totient is φ = 3760128.

The previous prime is 10225829. The next prime is 10225841. The reversal of 10225840 is 4852201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10225841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99229 + ... + 99331.

Almost surely, 210225840 is an apocalyptic number.

10225840 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 10225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883104).

10225840 is an abundant number, since it is smaller than the sum of its proper divisors (15540368).

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

10225840 is a wasteful number, since it uses less digits than its factorization.

10225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 10225840 is about 3197.7867346025. The cubic root of 10225840 is about 217.0532690054.

The spelling of 10225840 in words is "ten million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 103 136 146 170 206 272 292 340 365 412 515 584 680 730 824 1030 1168 1241 1360 1460 1648 1751 2060 2482 2920 3502 4120 4964 5840 6205 7004 7519 8240 8755 9928 12410 14008 15038 17510 19856 24820 28016 30076 35020 37595 49640 60152 70040 75190 99280 120304 127823 140080 150380 255646 300760 511292 601520 639115 1022584 1278230 2045168 2556460 5112920 10225840