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9201030084 = 2234734
BaseRepresentation
bin10001001000110110…
…01001001111000100
3212202020100202110000
420210123021033010
5122320430430314
64121002001300
7444003315411
oct104433111704
925666322400
109201030084
1139a18180a4
1219494a6230
13b383083cc
14633dc5108
1538cb8b209
hex2246c93c4

9201030084 has 75 divisors (see below), whose sum is σ = 24387383867. Its totient is φ = 3024996192.

The previous prime is 9201030077. The next prime is 9201030121. The reversal of 9201030084 is 4800301029.

The square root of 9201030084 is 95922.

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

It can be written as a sum of positive squares in 2 ways, for example, as 168428484 + 9032601600 = 12978^2 + 95040^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=219.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 126041472 + ... + 126041544.

Almost surely, 29201030084 is an apocalyptic number.

9201030084 is the 95922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9201030084

9201030084 is an abundant number, since it is smaller than the sum of its proper divisors (15186353783).

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

9201030084 is an frugal number, since it uses more digits than its factorization.

9201030084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 9201030084 is about 2095.4573069208.

The spelling of 9201030084 in words is "nine billion, two hundred one million, thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5329 5913 7884 10658 11826 15987 21316 23652 31974 47961 63948 95922 143883 191844 287766 389017 431649 575532 778034 863298 1167051 1556068 1726596 2334102 3501153 4668204 7002306 10503459 14004612 21006918 28398241 31510377 42013836 56796482 63020754 85194723 113592964 126041508 170389446 255584169 340778892 511168338 766752507 1022336676 1533505014 2300257521 3067010028 4600515042 9201030084