Search a number
-
+
228332468200 = 23524326939859
BaseRepresentation
bin1101010010100110101…
…1001111011111101000
3210211100212211012021111
43110221223033133220
512220111102440300
6252521113120104
722332201646054
oct3245153173750
9724325735244
10228332468200
11889207a8981
12383040b9034
13186bb095265
14b0a0c96c64
155e159ae9ba
hex3529acf7e8

228332468200 has 96 divisors (see below), whose sum is σ = 543475706400. Its totient is φ = 89166792960.

The previous prime is 228332468123. The next prime is 228332468209. The reversal of 228332468200 is 2864233822.

It is a super-2 number, since 2×2283324682002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (228332468209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23154871 + ... + 23164729.

It is an arithmetic number, because the mean of its divisors is an integer number (5661205275).

Almost surely, 2228332468200 is an apocalyptic number.

228332468200 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 228332468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271737853200).

228332468200 is an abundant number, since it is smaller than the sum of its proper divisors (315143238200).

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

228332468200 is a wasteful number, since it uses less digits than its factorization.

228332468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 228332468200 in words is "two hundred twenty-eight billion, three hundred thirty-two million, four hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2693 4300 5386 8600 9859 10772 13465 19718 21544 26930 39436 49295 53860 67325 78872 98590 107720 115799 134650 197180 231598 246475 269300 394360 423937 463196 492950 538600 578995 847874 926392 985900 1157990 1695748 1971800 2119685 2315980 2894975 3391496 4239370 4631960 5789950 8478740 10598425 11579900 16957480 21196850 23159800 26550287 42393700 53100574 84787400 106201148 132751435 212402296 265502870 531005740 663757175 1062011480 1141662341 1327514350 2283324682 2655028700 4566649364 5310057400 5708311705 9133298728 11416623410 22833246820 28541558525 45666493640 57083117050 114166234100 228332468200