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675220500 = 223253181829
BaseRepresentation
bin101000001111110…
…000110000010100
31202001112202101200
4220033300300110
52340324024000
6151000152500
722506164613
oct5017606024
91661482350
10675220500
11317165179
1216a168730
13a9b74676
146596787a
153e42a500
hex283f0c14

675220500 has 144 divisors (see below), whose sum is σ = 2144447760. Its totient is φ = 178848000.

The previous prime is 675220489. The next prime is 675220541. The reversal of 675220500 is 5022576.

It can be written as a sum of positive squares in 8 ways, for example, as 419348484 + 255872016 = 20478^2 + 15996^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814086 + ... + 814914.

Almost surely, 2675220500 is an apocalyptic number.

675220500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072223880).

675220500 is an abundant number, since it is smaller than the sum of its proper divisors (1469227260).

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

675220500 is a wasteful number, since it uses less digits than its factorization.

675220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 675220500 is about 25985.0052915138. The cubic root of 675220500 is about 877.3008289777.

The spelling of 675220500 in words is "six hundred seventy-five million, two hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 181 225 250 300 362 375 450 500 543 724 750 829 900 905 1086 1125 1500 1629 1658 1810 2172 2250 2487 2715 3258 3316 3620 4145 4500 4525 4974 5430 6516 7461 8145 8290 9050 9948 10860 12435 13575 14922 16290 16580 18100 20725 22625 24870 27150 29844 32580 37305 40725 41450 45250 49740 54300 62175 67875 74610 81450 82900 90500 103625 124350 135750 149220 150049 162900 186525 203625 207250 248700 271500 300098 310875 373050 407250 414500 450147 600196 621750 746100 750245 814500 900294 932625 1243500 1350441 1500490 1800588 1865250 2250735 2700882 3000980 3730500 3751225 4501470 5401764 6752205 7502450 9002940 11253675 13504410 15004900 18756125 22507350 27008820 33761025 37512250 45014700 56268375 67522050 75024500 112536750 135044100 168805125 225073500 337610250 675220500