Search a number
-
+
4022300 = 2252192973
BaseRepresentation
bin1111010110000000011100
321120100120002
433112000130
52012203200
6222113432
746121552
oct17260034
97510502
104022300
1122a8017
12141b878
13aaaa79
14769bd2
15546bd5
hex3d601c

4022300 has 72 divisors (see below), whose sum is σ = 9634800. Its totient is φ = 1451520.

The previous prime is 4022297. The next prime is 4022303. The reversal of 4022300 is 32204.

It is an interprime number because it is at equal distance from previous prime (4022297) and next prime (4022303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022303) 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, 55064 + ... + 55136.

Almost surely, 24022300 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 4022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817400).

4022300 is an abundant number, since it is smaller than the sum of its proper divisors (5612500).

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

4022300 is a wasteful number, since it uses less digits than its factorization.

4022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4022300 is about 2005.5672514279. The cubic root of 4022300 is about 159.0345507237.

Adding to 4022300 its reverse (32204), we get a palindrome (4054504).

The spelling of 4022300 in words is "four million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 73 76 95 100 116 145 146 190 290 292 365 380 475 551 580 725 730 950 1102 1387 1450 1460 1825 1900 2117 2204 2755 2774 2900 3650 4234 5510 5548 6935 7300 8468 10585 11020 13775 13870 21170 27550 27740 34675 40223 42340 52925 55100 69350 80446 105850 138700 160892 201115 211700 402230 804460 1005575 2011150 4022300