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1970028225 = 32521122692
BaseRepresentation
bin111010101101100…
…0011111011000001
312002021221210200100
41311123003323001
513013311400400
6523252313013
766550651344
oct16533037301
95067853610
101970028225
11921036400
1246b912769
132551b2199
141498d645b
15b7e42100
hex756c3ec1

1970028225 has 81 divisors (see below), whose sum is σ = 3892948969. Its totient is φ = 951614400.

The previous prime is 1970028211. The next prime is 1970028239. The reversal of 1970028225 is 5228200791.

The square root of 1970028225 is 44385.

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

It is an interprime number because it is at equal distance from previous prime (1970028211) and next prime (1970028239).

It can be written as a sum of positive squares in 4 ways, for example, as 755645121 + 1214383104 = 27489^2 + 34848^2 .

It is not a de Polignac number, because 1970028225 - 27 = 1970028097 is a prime.

It is a super-2 number, since 2×19700282252 = 7762022414593301250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1970028225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7323391 + ... + 7323659.

Almost surely, 21970028225 is an apocalyptic number.

1970028225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1970028225 is the 44385-th square number.

1970028225 is the 22193-rd centered octagonal number.

It is an amenable number.

1970028225 is a deficient number, since it is larger than the sum of its proper divisors (1922920744).

1970028225 is a wasteful number, since it uses less digits than its factorization.

1970028225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 1970028225 is about 1253.5956683512.

Multiplying 1970028225 by its sum of digits (36), we get a square (70921016100 = 2663102).

The spelling of 1970028225 in words is "one billion, nine hundred seventy million, twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 269 275 363 495 605 807 825 1089 1345 1815 2421 2475 2959 3025 4035 5445 6725 8877 9075 12105 14795 20175 26631 27225 32549 44385 60525 72361 73975 97647 133155 162745 217083 221925 292941 361805 488235 651249 665775 795971 813725 1085415 1464705 1809025 2387913 2441175 3256245 3979855 5427075 7163739 7323525 8755681 11939565 16281225 19899275 26267043 35818695 43778405 59697825 78801129 131335215 179093475 218892025 394005645 656676075 1970028225