Search a number
-
+
2025235520 = 26571182193
BaseRepresentation
bin111100010110110…
…1010010001000000
312020010211121211222
41320231222101000
513121430014040
6532543454212
7101121134510
oct17055522100
95203747758
102025235520
1194a213470
124862b7368
13263771819
14152d87840
15bcbe9bb5
hex78b6a440

2025235520 has 112 divisors (see below), whose sum is σ = 6012655488. Its totient is φ = 631234560.

The previous prime is 2025235519. The next prime is 2025235577. The reversal of 2025235520 is 255325202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20252355202 = 8203157822939340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2025235520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16457 + ... + 65736.

It is an arithmetic number, because the mean of its divisors is an integer number (53684424).

Almost surely, 22025235520 is an apocalyptic number.

2025235520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2025235520 is an abundant number, since it is smaller than the sum of its proper divisors (3987419968).

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

2025235520 is a wasteful number, since it uses less digits than its factorization.

2025235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82228 (or 82218 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2025235520 is about 45002.6168128032. The cubic root of 2025235520 is about 1265.1980442639.

The spelling of 2025235520 in words is "two billion, twenty-five million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 82193 164386 328772 410965 575351 657544 821930 904123 1150702 1315088 1643860 1808246 2301404 2630176 2876755 3287720 3616492 4520615 4602808 5260352 5753510 6328861 6575440 7232984 9041230 9205616 11507020 12657722 13150880 14465968 18082460 18411232 23014040 25315444 26301760 28931936 31644305 36164920 36822464 46028080 50630888 57863872 63288610 72329840 92056160 101261776 126577220 144659680 184112320 202523552 253154440 289319360 405047104 506308880 1012617760 2025235520