Search a number
-
+
22215800 = 2352113983
BaseRepresentation
bin101010010111…
…1110001111000
31112210200100102
41110233301320
521141401200
62112054532
7356555045
oct124576170
945720312
1022215800
11115a4072
127534448
1347aab59
142d441cc
151e3c6d5
hex152fc78

22215800 has 48 divisors (see below), whose sum is σ = 52161840. Its totient is φ = 8798720.

The previous prime is 22215797. The next prime is 22215803. The reversal of 22215800 is 851222.

It is an interprime number because it is at equal distance from previous prime (22215797) and next prime (22215803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22215803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22109 + ... + 23091.

It is an arithmetic number, because the mean of its divisors is an integer number (1086705).

Almost surely, 222215800 is an apocalyptic number.

22215800 is a gapful number since it is divisible by the number (20) 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 22215800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080920).

22215800 is an abundant number, since it is smaller than the sum of its proper divisors (29946040).

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

22215800 is a wasteful number, since it uses less digits than its factorization.

22215800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 22215800 is about 4713.3639791554. The cubic root of 22215800 is about 281.1171355978.

The spelling of 22215800 in words is "twenty-two million, two hundred fifteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 983 1130 1966 2260 2825 3932 4520 4915 5650 7864 9830 11300 19660 22600 24575 39320 49150 98300 111079 196600 222158 444316 555395 888632 1110790 2221580 2776975 4443160 5553950 11107900 22215800