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70219008 = 283310159
BaseRepresentation
bin1000010111101…
…11010100000000
311220010111101000
410023313110000
5120434002013
610545012000
71511565066
oct413672400
9156114330
1070219008
1136700642
121b624000
1311717412
14947c036
156270973
hex42f7500

70219008 has 72 divisors (see below), whose sum is σ = 207670400. Its totient is φ = 23404032.

The previous prime is 70219001. The next prime is 70219021. The reversal of 70219008 is 80091207.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70219001) 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 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 11991.

Almost surely, 270219008 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 70219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103835200).

70219008 is an abundant number, since it is smaller than the sum of its proper divisors (137451392).

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

70219008 is a wasteful number, since it uses less digits than its factorization.

70219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70219008 is about 8379.6782754471. The cubic root of 70219008 is about 412.5578893962.

The spelling of 70219008 in words is "seventy million, two hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10159 20318 30477 40636 60954 81272 91431 121908 162544 182862 243816 274293 325088 365724 487632 548586 650176 731448 975264 1097172 1300352 1462896 1950528 2194344 2600704 2925792 3901056 4388688 5851584 7802112 8777376 11703168 17554752 23406336 35109504 70219008