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173228440 = 23571125113
BaseRepresentation
bin10100101001101…
…00000110011000
3110001221220202011
422110310012120
5323321302230
625104515304
74202263120
oct1224640630
9401856664
10173228440
1189868100
124a01bb34
1329b72948
1419013c80
151031be2a
hexa534198

173228440 has 96 divisors (see below), whose sum is σ = 489716640. Its totient is φ = 53982720.

The previous prime is 173228431. The next prime is 173228441. The reversal of 173228440 is 44822371.

173228440 is digitally balanced in base 3, 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 (173228441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31324 + ... + 36436.

It is an arithmetic number, because the mean of its divisors is an integer number (5101215).

Almost surely, 2173228440 is an apocalyptic number.

173228440 is a gapful number since it is divisible by the number (10) 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 173228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244858320).

173228440 is an abundant number, since it is smaller than the sum of its proper divisors (316488200).

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

173228440 is a wasteful number, since it uses less digits than its factorization.

173228440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 173228440 is about 13161.6275589305. The cubic root of 173228440 is about 557.4506139767.

The spelling of 173228440 in words is "one hundred seventy-three million, two hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 5113 6776 8470 10226 16940 20452 25565 33880 35791 40904 51130 56243 71582 102260 112486 143164 178955 204520 224972 281215 286328 357910 393701 449944 562430 618673 715820 787402 1124860 1237346 1431640 1574804 1968505 2249720 2474692 3093365 3149608 3937010 4330711 4949384 6186730 7874020 8661422 12373460 15748040 17322844 21653555 24746920 34645688 43307110 86614220 173228440