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30852922500 = 22325411712
BaseRepresentation
bin11100101110111110…
…100011110010000100
32221122012012212002100
4130232332203302010
51001141322010000
622101301112100
72141364341241
oct345676436204
987565185070
1030852922500
11120a2741364
125b906b8630
132ba8cb767a
1416c982c5c8
15c08956a00
hex72efa3c84

30852922500 has 135 divisors (see below), whose sum is σ = 97538764323. Its totient is φ = 8220420000.

The previous prime is 30852922493. The next prime is 30852922519. The reversal of 30852922500 is 522925803.

The square root of 30852922500 is 175650.

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

30852922500 is a `hidden beast` number, since 30 + 85 + 29 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2418869124 + 28434053376 = 49182^2 + 168624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26346915 + ... + 26348085.

Almost surely, 230852922500 is an apocalyptic number.

30852922500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30852922500 is the 175650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30852922500

30852922500 is an abundant number, since it is smaller than the sum of its proper divisors (66685841823).

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

30852922500 is an equidigital number, since it uses as much as digits as its factorization.

30852922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 30852922500 by its sum of digits (36), we get a square (1110705210000 = 10539002).

30852922500 divided by its sum of digits (36) gives a square (857025625 = 292752).

The spelling of 30852922500 in words is "thirty billion, eight hundred fifty-two million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1171 1250 1500 1875 2250 2342 2500 3513 3750 4500 4684 5625 5855 7026 7500 10539 11250 11710 14052 17565 21078 22500 23420 29275 35130 42156 52695 58550 70260 87825 105390 117100 146375 175650 210780 263475 292750 351300 439125 526950 585500 731875 878250 1053900 1317375 1371241 1463750 1756500 2195625 2634750 2742482 2927500 4113723 4391250 5269500 5484964 6586875 6856205 8227446 8782500 12341169 13173750 13712410 16454892 20568615 24682338 26347500 27424820 34281025 41137230 49364676 61705845 68562050 82274460 102843075 123411690 137124100 171405125 205686150 246823380 308529225 342810250 411372300 514215375 617058450 685620500 857025625 1028430750 1234116900 1542646125 1714051250 2056861500 2571076875 3085292250 3428102500 5142153750 6170584500 7713230625 10284307500 15426461250 30852922500