Search a number
-
+
722309980 = 22573711483
BaseRepresentation
bin101011000011011…
…001001101011100
31212100011011000111
4223003121031130
52434402404410
6155401335404
723620351000
oct5303311534
91770134014
10722309980
113407a81a7
12181a97564
13b6851072
146bd04700
154362cb8a
hex2b0d935c

722309980 has 96 divisors (see below), whose sum is σ = 1795046400. Its totient is φ = 243996480.

The previous prime is 722309953. The next prime is 722309981. The reversal of 722309980 is 89903227.

722309980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722309981) 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, 486319 + ... + 487801.

It is an arithmetic number, because the mean of its divisors is an integer number (18698400).

Almost surely, 2722309980 is an apocalyptic number.

722309980 is a gapful number since it is divisible by the number (70) 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 722309980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897523200).

722309980 is an abundant number, since it is smaller than the sum of its proper divisors (1072736420).

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

722309980 is a wasteful number, since it uses less digits than its factorization.

722309980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 722309980 is about 26875.8251966335. The cubic root of 722309980 is about 897.2384404486.

The spelling of 722309980 in words is "seven hundred twenty-two million, three hundred nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 343 355 490 497 686 710 980 994 1372 1420 1483 1715 1988 2485 2966 3430 3479 4970 5932 6860 6958 7415 9940 10381 13916 14830 17395 20762 24353 29660 34790 41524 48706 51905 69580 72667 97412 103810 105293 121765 145334 207620 210586 243530 290668 363335 421172 487060 508669 526465 726670 737051 1017338 1052930 1453340 1474102 2034676 2105860 2543345 2948204 3685255 5086690 5159357 7370510 10173380 10318714 14741020 20637428 25796785 36115499 51593570 72230998 103187140 144461996 180577495 361154990 722309980