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930192736225 = 5267228792
BaseRepresentation
bin11011000100100111100…
…11101011111111100001
310021220222201202000000011
431202103303223333201
5110220013320024400
61551154042324521
7124130020541404
oct15422363537741
93256881660004
10930192736225
11329546605465
1213033b7b9741
1369941a641bc
1433043281d3b
15192e30278ba
hexd893cebfe1

930192736225 has 27 divisors (see below), whose sum is σ = 1171318297107. Its totient is φ = 732792791280.

The previous prime is 930192736169. The next prime is 930192736241. The reversal of 930192736225 is 522637291039.

The square root of 930192736225 is 964465.

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., 334869385041 + 595323351184 = 578679^2 + 771572^2 .

It is not a de Polignac number, because 930192736225 - 219 = 930192211937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323094336 + ... + 323097214.

Almost surely, 2930192736225 is an apocalyptic number.

930192736225 is the 964465-th square number.

930192736225 is the 482233-rd centered octagonal number.

It is an amenable number.

930192736225 is a deficient number, since it is larger than the sum of its proper divisors (241125560882).

930192736225 is an frugal number, since it uses more digits than its factorization.

930192736225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 930192736225 by its sum of digits (49), we get a square (45579444075025 = 67512552).

The spelling of 930192736225 in words is "nine hundred thirty billion, one hundred ninety-two million, seven hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 1675 2879 4489 14395 22445 71975 112225 192893 964465 4822325 8288641 12923831 41443205 64619155 207216025 323095775 555338947 2776694735 13883473675 37207709449 186038547245 930192736225