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10225400 = 2352294143
BaseRepresentation
bin100111000000…
…011011111000
3201020111121112
4213000123320
510104203100
61003055452
7152625443
oct47003370
921214545
1010225400
115854549
123511588
132170343
14150265a
15d6eb35
hex9c06f8

10225400 has 96 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 3763200.

The previous prime is 10225387. The next prime is 10225417. The reversal of 10225400 is 452201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237779 + ... + 237821.

Almost surely, 210225400 is an apocalyptic number.

10225400 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 10225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

10225400 is an abundant number, since it is smaller than the sum of its proper divisors (15554200).

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

10225400 is a wasteful number, since it uses less digits than its factorization.

10225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

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

The square root of 10225400 is about 3197.7179362789. The cubic root of 10225400 is about 217.0501558199.

Adding to 10225400 its reverse (452201), we get a palindrome (10677601).

The spelling of 10225400 in words is "ten million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 41 43 50 58 82 86 100 116 145 164 172 200 205 215 232 290 328 344 410 430 580 725 820 860 1025 1075 1160 1189 1247 1450 1640 1720 1763 2050 2150 2378 2494 2900 3526 4100 4300 4756 4988 5800 5945 6235 7052 8200 8600 8815 9512 9976 11890 12470 14104 17630 23780 24940 29725 31175 35260 44075 47560 49880 51127 59450 62350 70520 88150 102254 118900 124700 176300 204508 237800 249400 255635 352600 409016 511270 1022540 1278175 2045080 2556350 5112700 10225400