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1468894224 = 243721120719
BaseRepresentation
bin101011110001101…
…1000110000010000
310210100222120001210
41113203120300100
511002014103344
6401431300120
751254252310
oct12743306020
93710876053
101468894224
11694174a76
1234bb1a640
131a5420ba5
14dd127440
1588e52db9
hex578d8c10

1468894224 has 80 divisors (see below), whose sum is σ = 4357498880. Its totient is φ = 417674880.

The previous prime is 1468894171. The next prime is 1468894253. The reversal of 1468894224 is 4224988641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 60537 + ... + 81255.

It is an arithmetic number, because the mean of its divisors is an integer number (54468736).

Almost surely, 21468894224 is an apocalyptic number.

1468894224 is a gapful number since it is divisible by the number (14) 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 1468894224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178749440).

1468894224 is an abundant number, since it is smaller than the sum of its proper divisors (2888604656).

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

1468894224 is a wasteful number, since it uses less digits than its factorization.

1468894224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20948 (or 20942 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 1468894224 is about 38326.1558729805. The cubic root of 1468894224 is about 1136.7461911301.

The spelling of 1468894224 in words is "one billion, four hundred sixty-eight million, eight hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 8862 10128 11816 17724 20719 23632 35448 41438 62157 70896 82876 124314 145033 165752 248628 290066 331504 435099 497256 580132 870198 994512 1160264 1740396 2320528 3480792 4371709 6961584 8743418 13115127 17486836 26230254 30601963 34973672 52460508 61203926 69947344 91805889 104921016 122407852 183611778 209842032 244815704 367223556 489631408 734447112 1468894224