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722228080 = 24573141603
BaseRepresentation
bin101011000011000…
…101001101110000
31212022222222200011
4223003011031300
52434342244310
6155355504304
723616560140
oct5303051560
91768888604
10722228080
11340751712
12181a58094
13b68229c2
146bcc2920
154361378a
hex2b0c5370

722228080 has 80 divisors (see below), whose sum is σ = 1981016064. Its totient is φ = 239627520.

The previous prime is 722228071. The next prime is 722228081. The reversal of 722228080 is 80822227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7222280802 = 1043226799080972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722228081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3442 + ... + 38161.

Almost surely, 2722228080 is an apocalyptic number.

722228080 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 722228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990508032).

722228080 is an abundant number, since it is smaller than the sum of its proper divisors (1258787984).

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

722228080 is a wasteful number, since it uses less digits than its factorization.

722228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41654 (or 41648 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 722228080 is about 26874.3014792943. The cubic root of 722228080 is about 897.2045276744.

The spelling of 722228080 in words is "seven hundred twenty-two million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 41603 83206 166412 208015 291221 332824 416030 582442 665648 832060 1164884 1289693 1456105 1664120 2329768 2579386 2912210 3328240 4659536 5158772 5824420 6448465 9027851 10317544 11648840 12896930 18055702 20635088 23297680 25793860 36111404 45139255 51587720 72222808 90278510 103175440 144445616 180557020 361114040 722228080