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9270801225 = 3252741312
BaseRepresentation
bin10001010001001010…
…10011001101001001
3212221002122111110100
420220211103031021
5122441311114400
64131533240013
7445511340000
oct105045231511
925832574410
109270801225
113a281421a4
121968933009
13b498c69ca
1463d387c37
15393d6e100
hex228953349

9270801225 has 135 divisors (see below), whose sum is σ = 19520390279. Its totient is φ = 4205728800.

The previous prime is 9270801217. The next prime is 9270801251. The reversal of 9270801225 is 5221080729.

The square root of 9270801225 is 96285.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3337488441 + 5933312784 = 57771^2 + 77028^2 .

It is not a de Polignac number, because 9270801225 - 23 = 9270801217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9270801225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 70769410 + ... + 70769540.

Almost surely, 29270801225 is an apocalyptic number.

9270801225 is the 96285-th square number.

9270801225 is the 48143-rd centered octagonal number.

It is an amenable number.

9270801225 is an abundant number, since it is smaller than the sum of its proper divisors (10249589054).

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

9270801225 is an equidigital number, since it uses as much as digits as its factorization.

9270801225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 9270801225 is about 2100.7405721374.

Multiplying 9270801225 by its sum of digits (36), we get a square (333748844100 = 5777102).

The spelling of 9270801225 in words is "nine billion, two hundred seventy million, eight hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 131 147 175 225 245 315 343 393 441 525 655 735 917 1029 1179 1225 1575 1715 1965 2205 2401 2751 3087 3275 3675 4585 5145 5895 6419 7203 8253 8575 9825 11025 12005 13755 15435 17161 19257 21609 22925 25725 29475 32095 36015 41265 44933 51483 57771 60025 68775 77175 85805 96285 108045 120127 134799 154449 160475 180075 206325 224665 257415 288855 314531 360381 404397 429025 481425 540225 600635 673995 772245 840889 943593 1081143 1123325 1287075 1444275 1572655 1801905 2021985 2522667 2830779 3003175 3369975 3861225 4204445 4717965 5405715 5886223 7568001 7863275 9009525 10109925 12613335 14153895 17658669 21022225 23589825 27028575 29431115 37840005 41203561 52976007 63066675 70769475 88293345 123610683 147155575 189200025 206017805 264880035 370832049 441466725 618053415 1030089025 1324400175 1854160245 3090267075 9270801225