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70084224 = 273372897
BaseRepresentation
bin1000010110101…
…10011010000000
311212212122111000
410023112122000
5120420143344
610542052000
71510464120
oct413263200
9155778430
1070084224
1136619351
121b57a000
131169ac72
149444c80
156245a69
hex42d6680

70084224 has 128 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 20017152.

The previous prime is 70084199. The next prime is 70084237. The reversal of 70084224 is 42248007.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22744 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (1847475).

Almost surely, 270084224 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 70084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

70084224 is an abundant number, since it is smaller than the sum of its proper divisors (166392576).

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

70084224 is a wasteful number, since it uses less digits than its factorization.

70084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 70084224 is about 8371.6320989398. The cubic root of 70084224 is about 412.2937547482.

The spelling of 70084224 in words is "seventy million, eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 2897 3024 3456 4032 5794 6048 8064 8691 11588 12096 17382 20279 23176 24192 26073 34764 40558 46352 52146 60837 69528 78219 81116 92704 104292 121674 139056 156438 162232 182511 185408 208584 243348 278112 312876 324464 365022 370816 417168 486696 547533 556224 625752 648928 730044 834336 973392 1095066 1112448 1251504 1297856 1460088 1668672 1946784 2190132 2503008 2595712 2920176 3337344 3893568 4380264 5006016 5840352 7787136 8760528 10012032 11680704 17521056 23361408 35042112 70084224