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92233690000 = 245430372
BaseRepresentation
bin101010111100110001…
…1100110101110010000
322211001220221220202121
41111321203212232100
53002343311040000
6110212132024024
76443431300204
oct1257143465620
9284056856677
1092233690000
1136130571491
1215a60a62014
13890b81b33a
14466d828b04
1525ec500b1a
hex15798e6b90

92233690000 has 75 divisors (see below), whose sum is σ = 223380539877. Its totient is φ = 36881328000.

The previous prime is 92233689967. The next prime is 92233690007. The reversal of 92233690000 is 9633229.

The square root of 92233690000 is 303700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 36982366864 + 55251323136 = 192308^2 + 235056^2 .

It is a super-2 number, since 2×922336900002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92233690007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30368482 + ... + 30371518.

Almost surely, 292233690000 is an apocalyptic number.

92233690000 is the 303700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92233690000

92233690000 is an abundant number, since it is smaller than the sum of its proper divisors (131146849877).

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

92233690000 is an frugal number, since it uses more digits than its factorization.

92233690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 92233690000 in words is "ninety-two billion, two hundred thirty-three million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3037 5000 6074 10000 12148 15185 24296 30370 48592 60740 75925 121480 151850 242960 303700 379625 607400 759250 1214800 1518500 1898125 3037000 3796250 6074000 7592500 9223369 15185000 18446738 30370000 36893476 46116845 73786952 92233690 147573904 184467380 230584225 368934760 461168450 737869520 922336900 1152921125 1844673800 2305842250 3689347600 4611684500 5764605625 9223369000 11529211250 18446738000 23058422500 46116845000 92233690000