Search a number
-
+
222300451328 = 296723112
BaseRepresentation
bin1100111100001000100…
…0111011001000000000
3210020210111111222201012
43033002020323020000
512120232403420303
6250042354100052
722026545442044
oct3170210731000
9706714458635
10222300451328
118630589a36a
12370bbb7a628
1317c694994c7
14aa8bb12024
155bb11505d8
hex33c223b200

222300451328 has 90 divisors (see below), whose sum is σ = 452349506763. Its totient is φ = 109139205120.

The previous prime is 222300451319. The next prime is 222300451343. The reversal of 222300451328 is 823154003222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 111150225664 + 111150225664 = 333392^2 + 333392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333392.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222300451294 and 222300451303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 714792293 + ... + 714792603.

Almost surely, 2222300451328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222300451328

222300451328 is an abundant number, since it is smaller than the sum of its proper divisors (230049055435).

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

222300451328 is an frugal number, since it uses more digits than its factorization.

222300451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Multiplying 222300451328 by its sum of digits (32), we get a square (7113614442496 = 26671362).

222300451328 divided by its sum of digits (32) gives a square (6946889104 = 833482).

The spelling of 222300451328 in words is "two hundred twenty-two billion, three hundred million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 311 512 536 622 1072 1244 2144 2488 4288 4489 4976 8576 8978 9952 17152 17956 19904 20837 34304 35912 39808 41674 71824 79616 83348 96721 143648 159232 166696 193442 287296 333392 386884 574592 666784 773768 1149184 1333568 1396079 1547536 2298368 2667136 2792158 3095072 5334272 5584316 6190144 6480307 10668544 11168632 12380288 12960614 22337264 24760576 25921228 44674528 49521152 51842456 89349056 103684912 178698112 207369824 357396224 414739648 434180569 714792448 829479296 868361138 1658958592 1736722276 3317917184 3473444552 6946889104 13893778208 27787556416 55575112832 111150225664 222300451328