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1630105224 = 2331124113691
BaseRepresentation
bin110000100101001…
…0110111010001000
311012121022220222120
41201022112322020
511314301331344
6425430451240
755252444236
oct14112267210
94177286876
101630105224
11767174200
12395b03b20
131cc946907
141166cd956
1598199219
hex61296e88

1630105224 has 96 divisors (see below), whose sum is σ = 4589010720. Its totient is φ = 481888000.

The previous prime is 1630105219. The next prime is 1630105229. The reversal of 1630105224 is 4225010361.

It is an interprime number because it is at equal distance from previous prime (1630105219) and next prime (1630105229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1630105194 and 1630105203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630105229) 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 23 ways as a sum of consecutive naturals, for example, 112219 + ... + 125909.

It is an arithmetic number, because the mean of its divisors is an integer number (47802195).

Almost surely, 21630105224 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 1630105224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294505360).

1630105224 is an abundant number, since it is smaller than the sum of its proper divisors (2958905496).

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

1630105224 is a wasteful number, since it uses less digits than its factorization.

1630105224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1630105224 is about 40374.5615951430. The cubic root of 1630105224 is about 1176.8972455205.

Adding to 1630105224 its reverse (4225010361), we get a palindrome (5855115585).

The spelling of 1630105224 in words is "one billion, six hundred thirty million, one hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 121 123 132 164 242 246 264 328 363 451 484 492 726 902 968 984 1353 1452 1804 2706 2904 3608 4961 5412 9922 10824 13691 14883 19844 27382 29766 39688 41073 54764 59532 82146 109528 119064 150601 164292 301202 328584 451803 561331 602404 903606 1122662 1204808 1656611 1683993 1807212 2245324 3313222 3367986 3614424 4490648 4969833 6174641 6626444 6735972 9939666 12349282 13252888 13471944 18523923 19879332 24698564 37047846 39758664 49397128 67921051 74095692 135842102 148191384 203763153 271684204 407526306 543368408 815052612 1630105224