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235097028000 = 2532536530473
BaseRepresentation
bin1101101011110011011…
…1111111010110100000
3211110211022112102211100
43122330313333112200
512322434314344000
6300000241114400
722661631523542
oct3327467772640
9743738472740
10235097028000
119078216386a
1239691628a00
1319228685973
14b543447692
1561ae7bda00
hex36bcdff5a0

235097028000 has 144 divisors (see below), whose sum is σ = 834359480136. Its totient is φ = 62692531200.

The previous prime is 235097027989. The next prime is 235097028011. The reversal of 235097028000 is 820790532.

It is a happy number.

235097028000 is a `hidden beast` number, since 2 + 3 + 509 + 70 + 2 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (235097027989) and next prime (235097028011).

It can be written as a sum of positive squares in 4 ways, for example, as 140526017424 + 94571010576 = 374868^2 + 307524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2350970280002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229237 + ... + 3301236.

Almost surely, 2235097028000 is an apocalyptic number.

235097028000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235097028000 is an abundant number, since it is smaller than the sum of its proper divisors (599262452136).

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

235097028000 is a wasteful number, since it uses less digits than its factorization.

235097028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530504 (or 6530483 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 235097028000 in words is "two hundred thirty-five billion, ninety-seven million, twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 6530473 13060946 19591419 26121892 32652365 39182838 52243784 58774257 65304730 78365676 97957095 104487568 117548514 130609460 156731352 163261825 195914190 208975136 235097028 261218920 293871285 313462704 326523650 391828380 470194056 489785475 522437840 587742570 626925408 653047300 783656760 816309125 940388112 979570950 1044875680 1175485140 1306094600 1469356425 1567313520 1632618250 1880776224 1959141900 2350970280 2448927375 2612189200 2938712850 3134627040 3265236500 3918283800 4701940560 4897854750 5224378400 5877425700 6530473000 7346782125 7836567600 9403881120 9795709500 11754851400 13060946000 14693564250 15673135200 19591419000 23509702800 26121892000 29387128500 39182838000 47019405600 58774257000 78365676000 117548514000 235097028000