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10022500 = 225419211
BaseRepresentation
bin100110001110…
…111001100100
3200212012021201
4212032321210
510031210000
6554452244
7151122055
oct46167144
920765251
1010022500
115726064
123434084
1320cbb97
14148c72c
15d2e96a
hex98ee64

10022500 has 60 divisors (see below), whose sum is σ = 23180080. Its totient is φ = 3780000.

The previous prime is 10022497. The next prime is 10022501. The reversal of 10022500 is 522001.

10022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10022501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47395 + ... + 47605.

Almost surely, 210022500 is an apocalyptic number.

10022500 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 10022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590040).

10022500 is an abundant number, since it is smaller than the sum of its proper divisors (13157580).

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

10022500 is a wasteful number, since it uses less digits than its factorization.

10022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10022500 is about 3165.8332236553. The cubic root of 10022500 is about 215.6049305692.

Adding to 10022500 its reverse (522001), we get a palindrome (10544501).

It can be divided in two parts, 100 and 22500, that multiplied together give a square (2250000 = 15002).

The spelling of 10022500 in words is "ten million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 211 250 380 422 475 500 625 844 950 1055 1250 1900 2110 2375 2500 4009 4220 4750 5275 8018 9500 10550 11875 16036 20045 21100 23750 26375 40090 47500 52750 80180 100225 105500 131875 200450 263750 400900 501125 527500 1002250 2004500 2505625 5011250 10022500