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54238225500 = 22325354122279
BaseRepresentation
bin110010100000110110…
…011010010001011100
312011222221210100000200
4302200312122101130
51342034441204000
640530001223500
73630034211214
oct624066322134
9164887710020
1054238225500
1121003078658
12a618331b90
135164b40674
1428a7577244
1516269c5500
hexca0d9a45c

54238225500 has 144 divisors (see below), whose sum is σ = 171427488960. Its totient is φ = 14436144000.

The previous prime is 54238225471. The next prime is 54238225507. The reversal of 54238225500 is 552283245.

It is a happy number.

54238225500 is a `hidden beast` number, since 5 + 4 + 23 + 82 + 2 + 550 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54238225507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2423361 + ... + 2445639.

Almost surely, 254238225500 is an apocalyptic number.

54238225500 is a gapful number since it is divisible by the number (50) 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 54238225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85713744480).

54238225500 is an abundant number, since it is smaller than the sum of its proper divisors (117189263460).

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

54238225500 is a wasteful number, since it uses less digits than its factorization.

54238225500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22845 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54238225500 in words is "fifty-four billion, two hundred thirty-eight million, two hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 541 750 900 1082 1125 1500 1623 2164 2250 2705 3246 4500 4869 5410 6492 8115 9738 10820 13525 16230 19476 22279 24345 27050 32460 40575 44558 48690 54100 66837 67625 81150 89116 97380 111395 121725 133674 135250 162300 200511 202875 222790 243450 267348 270500 334185 401022 405750 445580 486900 556975 608625 668370 802044 811500 1002555 1113950 1217250 1336740 1670925 2005110 2227900 2434500 2784875 3341850 4010220 5012775 5569750 6683700 8354625 10025550 11139500 12052939 16709250 20051100 24105878 25063875 33418500 36158817 48211756 50127750 60264695 72317634 100255500 108476451 120529390 144635268 180794085 216952902 241058780 301323475 361588170 433905804 542382255 602646950 723176340 903970425 1084764510 1205293900 1506617375 1807940850 2169529020 2711911275 3013234750 3615881700 4519852125 5423822550 6026469500 9039704250 10847645100 13559556375 18079408500 27119112750 54238225500