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234555000 = 2335419823
BaseRepresentation
bin11011111101100…
…00011001111000
3121100100121222020
431332300121320
5440021230000
635135154440
75545453551
oct1576603170
9540317866
10234555000
11110444709
1266675a20
1339795654
1423219328
15158d2ba0
hexdfb0678

234555000 has 160 divisors (see below), whose sum is σ = 772252800. Its totient is φ = 59184000.

The previous prime is 234554993. The next prime is 234555037. The reversal of 234555000 is 555432.

234555000 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284589 + ... + 285411.

It is an arithmetic number, because the mean of its divisors is an integer number (4826580).

Almost surely, 2234555000 is an apocalyptic number.

234555000 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 234555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386126400).

234555000 is an abundant number, since it is smaller than the sum of its proper divisors (537697800).

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

234555000 is a wasteful number, since it uses less digits than its factorization.

234555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 234555000 is about 15315.1885394859. The cubic root of 234555000 is about 616.7108157662.

The spelling of 234555000 in words is "two hundred thirty-four million, five hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 625 750 760 823 950 1000 1140 1250 1425 1500 1646 1875 1900 2280 2375 2469 2500 2850 3000 3292 3750 3800 4115 4750 4938 5000 5700 6584 7125 7500 8230 9500 9876 11400 11875 12345 14250 15000 15637 16460 19000 19752 20575 23750 24690 28500 31274 32920 35625 41150 46911 47500 49380 57000 61725 62548 71250 78185 82300 93822 95000 98760 102875 123450 125096 142500 156370 164600 187644 205750 234555 246900 285000 308625 312740 375288 390925 411500 469110 493800 514375 617250 625480 781850 823000 938220 1028750 1172775 1234500 1543125 1563700 1876440 1954625 2057500 2345550 2469000 3086250 3127400 3909250 4115000 4691100 5863875 6172500 7818500 9382200 9773125 11727750 12345000 15637000 19546250 23455500 29319375 39092500 46911000 58638750 78185000 117277500 234555000