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2422325120 = 27531831471
BaseRepresentation
bin1001000001100001…
…1011111110000000
320020211000212101012
42100120123332000
514430103400440
61040210500052
7114012265235
oct22030337600
96224025335
102422325120
111033380796
12577294628
132c7b04497
1418d9d178c
15e29d5e65
hex9061bf80

2422325120 has 128 divisors (see below), whose sum is σ = 6053806080. Its totient is φ = 925747200.

The previous prime is 2422325071. The next prime is 2422325123. The reversal of 2422325120 is 215232242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422325123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645985 + ... + 1647455.

It is an arithmetic number, because the mean of its divisors is an integer number (47295360).

Almost surely, 22422325120 is an apocalyptic number.

2422325120 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 2422325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026903040).

2422325120 is an abundant number, since it is smaller than the sum of its proper divisors (3631480960).

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

2422325120 is a wasteful number, since it uses less digits than its factorization.

2422325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2422325120 is about 49217.1222238765. The cubic root of 2422325120 is about 1343.0045302453.

Adding to 2422325120 its reverse (215232242), we get a palindrome (2637557362).

The spelling of 2422325120 in words is "two billion, four hundred twenty-two million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 128 155 160 166 248 310 320 332 415 496 620 640 664 830 992 1240 1328 1471 1660 1984 2480 2573 2656 2942 3320 3968 4960 5146 5312 5884 6640 7355 9920 10292 10624 11768 12865 13280 14710 19840 20584 23536 25730 26560 29420 41168 45601 47072 51460 53120 58840 82336 91202 94144 102920 117680 122093 164672 182404 188288 205840 228005 235360 244186 329344 364808 411680 456010 470720 488372 610465 729616 823360 912020 941440 976744 1220930 1459232 1646720 1824040 1953488 2441860 2918464 3648080 3784883 3906976 4883720 5836928 7296160 7569766 7813952 9767440 14592320 15139532 15627904 18924415 19534880 29184640 30279064 37848830 39069760 60558128 75697660 78139520 121116256 151395320 242232512 302790640 484465024 605581280 1211162560 2422325120