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4422500 = 22542961
BaseRepresentation
bin10000110111101101100100
322022200112022
4100313231210
52113010000
6234442312
752406405
oct20675544
98280468
104422500
112550765
121593398
13bbac84
148319ac
155c5585
hex437b64

4422500 has 60 divisors (see below), whose sum is σ = 10168620. Its totient is φ = 1680000.

The previous prime is 4422493. The next prime is 4422503. The reversal of 4422500 is 52244.

It can be written as a sum of positive squares in 10 ways, for example, as 4227136 + 195364 = 2056^2 + 442^2 .

It is not an unprimeable number, because it can be changed into a prime (4422503) 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, 72470 + ... + 72530.

It is an arithmetic number, because the mean of its divisors is an integer number (169477).

Almost surely, 24422500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084310).

4422500 is an abundant number, since it is smaller than the sum of its proper divisors (5746120).

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

4422500 is a wasteful number, since it uses less digits than its factorization.

4422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4422500 is about 2102.9740844813. The cubic root of 4422500 is about 164.1430934341.

Adding to 4422500 its reverse (52244), we get a palindrome (4474744).

It can be divided in two parts, 4 and 422500, that multiplied together give a square (1690000 = 13002).

The spelling of 4422500 in words is "four million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 125 145 244 250 290 305 500 580 610 625 725 1220 1250 1450 1525 1769 2500 2900 3050 3538 3625 6100 7076 7250 7625 8845 14500 15250 17690 18125 30500 35380 36250 38125 44225 72500 76250 88450 152500 176900 221125 442250 884500 1105625 2211250 4422500