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93574198201 = 112278092
BaseRepresentation
bin101011100100101110…
…1001111001110111001
322221112100100210022111
41113021131033032321
53013114443320301
6110553135452321
76521566363321
oct1271135171671
9287470323274
1093574198201
1136759217100
12161759870a1
138a9346a263
144759892281
15267a043551
hex15c974f3b9

93574198201 has 9 divisors (see below), whose sum is σ = 102857982703. Its totient is φ = 85064393920.

The previous prime is 93574198153. The next prime is 93574198243. The reversal of 93574198201 is 10289147539.

It is a happy number.

The square root of 93574198201 is 305899.

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., 66203804601 + 27370393600 = 257301^2 + 165440^2 .

It is not a de Polignac number, because 93574198201 - 27 = 93574198073 is a prime.

It is a super-2 number, since 2×935741982012 (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 (93574198261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3350985 + ... + 3378793.

Almost surely, 293574198201 is an apocalyptic number.

93574198201 is the 305899-th square number.

93574198201 is the 152950-th centered octagonal number.

It is an amenable number.

93574198201 is a deficient number, since it is larger than the sum of its proper divisors (9283784502).

93574198201 is an frugal number, since it uses more digits than its factorization.

93574198201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55640 (or 27820 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 93574198201 by its sum of digits (49), we get a square (4585135711849 = 21412932).

The spelling of 93574198201 in words is "ninety-three billion, five hundred seventy-four million, one hundred ninety-eight thousand, two hundred one".

Divisors: 1 11 121 27809 305899 3364889 773340481 8506745291 93574198201