Search a number
-
+
4230533000 = 235361223311
BaseRepresentation
bin1111110000101000…
…1100111110001000
3101220211111100021102
43330022030332020
532131004024000
61535443000532
7206556636311
oct37412147610
911824440242
104230533000
111881031071
129a0969148
13525609485
142c1c03608
1519b6113d5
hexfc28cf88

4230533000 has 128 divisors (see below), whose sum is σ = 10139351040. Its totient is φ = 1651680000.

The previous prime is 4230532997. The next prime is 4230533009. The reversal of 4230533000 is 3350324.

4230533000 is digitally balanced in base 2, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (4230533009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13602845 + ... + 13603155.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 24230533000 is an apocalyptic number.

4230533000 is a gapful number since it is divisible by the number (40) 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 4230533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069675520).

4230533000 is an abundant number, since it is smaller than the sum of its proper divisors (5908818040).

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

4230533000 is a wasteful number, since it uses less digits than its factorization.

4230533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 4230533000 is about 65042.5476130817. The cubic root of 4230533000 is about 1617.3289571627.

Adding to 4230533000 its reverse (3350324), we get a palindrome (4233883324).

The spelling of 4230533000 in words is "four billion, two hundred thirty million, five hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 223 244 250 305 311 446 488 500 610 622 892 1000 1115 1220 1244 1525 1555 1784 2230 2440 2488 3050 3110 4460 5575 6100 6220 7625 7775 8920 11150 12200 12440 13603 15250 15550 18971 22300 27206 27875 30500 31100 37942 38875 44600 54412 55750 61000 62200 68015 69353 75884 77750 94855 108824 111500 136030 138706 151768 155500 189710 223000 272060 277412 311000 340075 346765 379420 474275 544120 554824 680150 693530 758840 948550 1360300 1387060 1700375 1733825 1897100 2371375 2720600 2774120 3400750 3467650 3794200 4230533 4742750 6801500 6935300 8461066 8669125 9485500 13603000 13870600 16922132 17338250 18971000 21152665 33844264 34676500 42305330 69353000 84610660 105763325 169221320 211526650 423053300 528816625 846106600 1057633250 2115266500 4230533000