Search a number
-
+
22239120 = 2435194877
BaseRepresentation
bin101010011010…
…1011110010000
31112211212100010
41110311132100
521143122440
62112354520
7360013041
oct124653620
945755303
1022239120
111160a642
127545a40
1347b8657
142d4c8c8
151e44580
hex1535790

22239120 has 80 divisors (see below), whose sum is σ = 72584640. Its totient is φ = 5617152.

The previous prime is 22239079. The next prime is 22239149. The reversal of 22239120 is 2193222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 6998.

It is an arithmetic number, because the mean of its divisors is an integer number (907308).

Almost surely, 222239120 is an apocalyptic number.

22239120 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 22239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292320).

22239120 is an abundant number, since it is smaller than the sum of its proper divisors (50345520).

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

22239120 is a wasteful number, since it uses less digits than its factorization.

22239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22239120 is about 4715.8371473154. The cubic root of 22239120 is about 281.2154644014.

The spelling of 22239120 in words is "twenty-two million, two hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4877 9754 14631 19508 24385 29262 39016 48770 58524 73155 78032 92663 97540 117048 146310 185326 195080 234096 277989 292620 370652 390160 463315 555978 585240 741304 926630 1111956 1170480 1389945 1482608 1853260 2223912 2779890 3706520 4447824 5559780 7413040 11119560 22239120