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70323084225 = 3452712832
BaseRepresentation
bin100000101111110010…
…1010001101111000001
320201111221021211010000
41001133211101233001
52123010202143400
652150031430213
75036446232112
oct1013745215701
9221457254100
1070323084225
1127907603029
1211767085369
136829368654
1435918b8209
151c68b7e600
hex105f951bc1

70323084225 has 135 divisors (see below), whose sum is σ = 133734211699. Its totient is φ = 36531885600.

The previous prime is 70323084203. The next prime is 70323084277. The reversal of 70323084225 is 52248032307.

The square root of 70323084225 is 265185.

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., 25316310321 + 45006773904 = 159111^2 + 212148^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 70323084225 - 227 = 70188866497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 70323084225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 847266034 + ... + 847266116.

Almost surely, 270323084225 is an apocalyptic number.

70323084225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70323084225 is the 265185-th square number.

70323084225 is the 132593-rd centered octagonal number.

It is an amenable number.

70323084225 is a deficient number, since it is larger than the sum of its proper divisors (63411127474).

70323084225 is an frugal number, since it uses more digits than its factorization.

70323084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 70323084225 by its sum of digits (36), we get a square (2531631032100 = 15911102).

The spelling of 70323084225 in words is "seventy billion, three hundred twenty-three million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 83 135 213 225 249 355 405 415 639 675 747 1065 1245 1775 1917 2025 2075 2241 3195 3735 5041 5325 5751 5893 6225 6723 6889 9585 11205 15123 15975 17679 18675 20667 25205 28755 29465 33615 34445 45369 47925 53037 56025 62001 75615 88395 103335 126025 136107 143775 147325 159111 168075 172225 186003 226845 265185 310005 378075 408321 418403 441975 477333 489119 516675 558009 680535 795555 930015 1134225 1255209 1325925 1467357 1550025 2041605 2092015 2386665 2445595 2790045 3402675 3765627 3977775 4402071 4650075 6276045 7336785 10208025 10460075 11296881 11933325 12227975 13206213 13950225 18828135 22010355 31380225 33890643 34727449 36683925 39618639 56484405 66031065 94140675 104182347 110051775 169453215 173637245 198093195 282422025 312547041 330155325 520911735 847266075 868186225 937641123 990465975 1562735205 2604558675 2812923369 4688205615 7813676025 14064616845 23441028075 70323084225