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9230600192 = 2111121932
BaseRepresentation
bin10001001100010111…
…11100100000000000
3212211022000002000012
420212023330200000
5122401013201232
64123535444052
7444512543552
oct104613744000
925738002005
109230600192
113a07484600
121957386628
13b4148c808
14637cc14d2
1539057c9b2
hex2262fc800

9230600192 has 108 divisors (see below), whose sum is σ = 20392768305. Its totient is φ = 4173987840.

The previous prime is 9230600173. The next prime is 9230600237. The reversal of 9230600192 is 2910060329.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8570315776 + 660284416 = 92576^2 + 25696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67936.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47826848 + ... + 47827040.

Almost surely, 29230600192 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 9230600192

9230600192 is an abundant number, since it is smaller than the sum of its proper divisors (11162168113).

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

9230600192 is an equidigital number, since it uses as much as digits as its factorization.

9230600192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 9230600192 is about 96076.0125733786. The cubic root of 9230600192 is about 2097.6996876886.

Multiplying 9230600192 by its sum of digits (32), we get a square (295379206144 = 5434882).

9230600192 divided by its sum of digits (32) gives a square (288456256 = 169842).

Multiplying 9230600192 by its product of nonzero digits (5832), we get a square (53832860319744 = 73370882).

The spelling of 9230600192 in words is "nine billion, two hundred thirty million, six hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 193 242 256 352 386 484 512 704 772 968 1024 1408 1544 1936 2048 2123 2816 3088 3872 4246 5632 6176 7744 8492 11264 12352 15488 16984 22528 23353 24704 30976 33968 37249 46706 49408 61952 67936 74498 93412 98816 123904 135872 148996 186824 197632 247808 271744 297992 373648 395264 409739 543488 595984 747296 819478 1086976 1191968 1494592 1638956 2173952 2383936 2989184 3277912 4347904 4507129 4767872 5978368 6555824 9014258 9535744 11956736 13111648 18028516 19071488 23913472 26223296 36057032 38142976 47826944 52446592 72114064 76285952 104893184 144228128 209786368 288456256 419572736 576912512 839145472 1153825024 2307650048 4615300096 9230600192