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225478743024 = 24317715936563
BaseRepresentation
bin1101000111111110010…
…1001001001111110000
3210120000000000221021110
43101333211021033300
512143240024234044
6251330011553320
722201400456433
oct3217745111760
9716000027243
10225478743024
1187696965a17
123784845b840
1318354aa7192
14acadc8981a
155cea1b16b9
hex347f9493f0

225478743024 has 160 divisors (see below), whose sum is σ = 626587467264. Its totient is φ = 69613895680.

The previous prime is 225478743019. The next prime is 225478743029. The reversal of 225478743024 is 420347874522.

It is an interprime number because it is at equal distance from previous prime (225478743019) and next prime (225478743029).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225478743029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34352767 + ... + 34359329.

Almost surely, 2225478743024 is an apocalyptic number.

225478743024 is a gapful number since it is divisible by the number (24) 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 225478743024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313293733632).

225478743024 is an abundant number, since it is smaller than the sum of its proper divisors (401108724240).

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

225478743024 is a wasteful number, since it uses less digits than its factorization.

225478743024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 48.

The spelling of 225478743024 in words is "two hundred twenty-five billion, four hundred seventy-eight million, seven hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 568 593 816 852 1136 1186 1207 1704 1779 2372 2414 3408 3558 3621 4744 4828 6563 7116 7242 9488 9656 10081 13126 14232 14484 19312 19689 20162 26252 28464 28968 30243 39378 40324 42103 52504 57936 60486 78756 80648 84206 105008 111571 120972 126309 157512 161296 168412 223142 241944 252618 315024 334713 336824 446284 465973 483888 505236 669426 673648 715751 892568 931946 1010472 1338852 1397919 1431502 1785136 1863892 2020944 2147253 2677704 2795838 2863004 3727784 3891859 4294506 5355408 5591676 5726008 7455568 7783718 7921541 8589012 11183352 11452016 11675577 15567436 15843082 17178024 22366704 23351154 23764623 31134872 31686164 34356048 46702308 47529246 62269744 63372328 66161603 93404616 95058492 126744656 132323206 186809232 190116984 198484809 264646412 276321989 380233968 396969618 529292824 552643978 793939236 828965967 1058585648 1105287956 1587878472 1657931934 2210575912 3175756944 3315863868 4421151824 4697473813 6631727736 9394947626 13263455472 14092421439 18789895252 28184842878 37579790504 56369685756 75159581008 112739371512 225478743024