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3148222500 = 223254139921
BaseRepresentation
bin1011101110100110…
…0001000000100100
322010101221021101100
42323221201000210
522421421110000
61240221200100
7141005310153
oct27351410044
98111837340
103148222500
1113760a9185
1273a400030
133b2310367
1421c18b59a
151365c1a00
hexbba61024

3148222500 has 90 divisors (see below), whose sum is σ = 9944396462. Its totient is φ = 839520000.

The previous prime is 3148222457. The next prime is 3148222549. The reversal of 3148222500 is 52228413.

It can be written as a sum of positive squares in 5 ways, for example, as 2415329316 + 732893184 = 49146^2 + 27072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×31482225002 = 19822609819012500000, which contains 22 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 47461 + ... + 92460.

Almost surely, 23148222500 is an apocalyptic number.

3148222500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3148222500 is an abundant number, since it is smaller than the sum of its proper divisors (6796173962).

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

3148222500 is a wasteful number, since it uses less digits than its factorization.

3148222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139951 (or 139931 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3148222500 is about 56109.0233384970. The cubic root of 3148222500 is about 1465.6214287143.

The spelling of 3148222500 in words is "three billion, one hundred forty-eight million, two 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 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 139921 279842 419763 559684 699605 839526 1259289 1399210 1679052 2098815 2518578 2798420 3498025 4197630 5037156 6296445 6996050 8395260 10494075 12592890 13992100 17490125 20988150 25185780 31482225 34980250 41976300 52470375 62964450 69960500 87450625 104940750 125928900 157411125 174901250 209881500 262351875 314822250 349802500 524703750 629644500 787055625 1049407500 1574111250 3148222500