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228302551800 = 233252397319483
BaseRepresentation
bin1101010010011111100…
…1000111101011111000
3210211021210112021200200
43110213321013223320
512220030423124200
6252514124002200
722331356446201
oct3244771075370
9724253467620
10228302551800
1188905925284
12382b6090360
13186b4b1c34b
14b09ad0a5a8
155e13050800
hex3527e47af8

228302551800 has 144 divisors (see below), whose sum is σ = 768649750440. Its totient is φ = 60727138560.

The previous prime is 228302551793. The next prime is 228302551831. The reversal of 228302551800 is 8155203822.

228302551800 is a `hidden beast` number, since 2 + 28 + 3 + 0 + 2 + 551 + 80 + 0 = 666.

228302551800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554859 + ... + 874341.

Almost surely, 2228302551800 is an apocalyptic number.

228302551800 is a gapful number since it is divisible by the number (20) 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 228302551800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384324875220).

228302551800 is an abundant number, since it is smaller than the sum of its proper divisors (540347198640).

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

228302551800 is a wasteful number, since it uses less digits than its factorization.

228302551800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319902 (or 319890 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 228302551800 in words is "two hundred twenty-eight billion, three hundred two million, five hundred fifty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 397 450 600 794 900 1191 1588 1800 1985 2382 3176 3573 3970 4764 5955 7146 7940 9528 9925 11910 14292 15880 17865 19850 23820 28584 29775 35730 39700 47640 59550 71460 79400 89325 119100 142920 178650 238200 319483 357300 638966 714600 958449 1277932 1597415 1916898 2555864 2875347 3194830 3833796 4792245 5750694 6389660 7667592 7987075 9584490 11501388 12779320 14376735 15974150 19168980 23002776 23961225 28753470 31948300 38337960 47922450 57506940 63896600 71883675 95844900 115013880 126834751 143767350 191689800 253669502 287534700 380504253 507339004 575069400 634173755 761008506 1014678008 1141512759 1268347510 1522017012 1902521265 2283025518 2536695020 3044034024 3170868775 3805042530 4566051036 5073390040 5707563795 6341737550 7610085060 9132102072 9512606325 11415127590 12683475100 15220170120 19025212650 22830255180 25366950200 28537818975 38050425300 45660510360 57075637950 76100850600 114151275900 228302551800