Search a number
-
+
2074355325 = 34527612399
BaseRepresentation
bin111101110100100…
…0010011001111101
312100120021011120000
41323221002121331
513222013332300
6541500344513
7102255505110
oct17351023175
95316234500
102074355325
11974a12949
1249a845139
132709ac3b3
141596d2577
15c219dc00
hex7ba4267d

2074355325 has 120 divisors (see below), whose sum is σ = 4465190400. Its totient is φ = 932342400.

The previous prime is 2074355321. The next prime is 2074355333. The reversal of 2074355325 is 5235534702.

2074355325 is a `hidden beast` number, since 20 + 74 + 35 + 532 + 5 = 666.

It is not a de Polignac number, because 2074355325 - 22 = 2074355321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2074355325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074355321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 863476 + ... + 865874.

It is an arithmetic number, because the mean of its divisors is an integer number (37209920).

Almost surely, 22074355325 is an apocalyptic number.

2074355325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2074355325 is an abundant number, since it is smaller than the sum of its proper divisors (2390835075).

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

2074355325 is a wasteful number, since it uses less digits than its factorization.

2074355325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 2074355325 is about 45545.0911185827. The cubic root of 2074355325 is about 1275.3450968976.

The spelling of 2074355325 in words is "two billion, seventy-four million, three hundred fifty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 61 63 75 81 105 135 175 183 189 225 305 315 405 427 525 549 567 675 915 945 1281 1525 1575 1647 2025 2135 2399 2745 2835 3843 4575 4725 4941 6405 7197 8235 10675 11529 11995 13725 14175 16793 19215 21591 24705 32025 34587 35985 41175 50379 57645 59975 64773 83965 96075 107955 123525 146339 151137 172935 179925 194319 251895 288225 323865 419825 439017 453411 539775 731695 755685 864675 971595 1024373 1259475 1317051 1360233 1619325 2195085 2267055 3073119 3658475 3778425 3951153 4857975 5121865 6585255 6801165 9219357 10975425 11335275 11853459 15365595 19755765 25609325 27658071 32926275 34005825 46096785 59267295 76827975 82974213 98778825 138290355 230483925 296336475 414871065 691451775 2074355325