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128224440 = 23325615839
BaseRepresentation
bin1111010010010…
…00110010111000
322221021110212100
413221020302320
5230311140230
620420143400
73114614121
oct751106270
9287243770
10128224440
1166419a13
1236b37b60
1320746566
141305b048
15b3cc660
hex7a48cb8

128224440 has 96 divisors (see below), whose sum is σ = 423633600. Its totient is φ = 33626880.

The previous prime is 128224429. The next prime is 128224441. The reversal of 128224440 is 44422821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128224441) 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 23 ways as a sum of consecutive naturals, for example, 19041 + ... + 24879.

It is an arithmetic number, because the mean of its divisors is an integer number (4412850).

Almost surely, 2128224440 is an apocalyptic number.

128224440 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 128224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211816800).

128224440 is an abundant number, since it is smaller than the sum of its proper divisors (295409160).

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

128224440 is a wasteful number, since it uses less digits than its factorization.

128224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 128224440 is about 11323.6230951052. The cubic root of 128224440 is about 504.2628070040.

The spelling of 128224440 in words is "one hundred twenty-eight million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 5839 7320 10980 11678 17517 21960 23356 29195 35034 46712 52551 58390 70068 87585 105102 116780 140136 175170 210204 233560 262755 350340 356179 420408 525510 700680 712358 1051020 1068537 1424716 1780895 2102040 2137074 2849432 3205611 3561790 4274148 5342685 6411222 7123580 8548296 10685370 12822444 14247160 16028055 21370740 25644888 32056110 42741480 64112220 128224440