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70224528 = 243112107113
BaseRepresentation
bin1000010111110…
…00101010010000
311220010202221110
410023320222100
5120434141103
610545053320
71511620143
oct413705220
9156122843
1070224528
1136704800
121b627240
1311719a9a
14948005a
156272403
hex42f8a90

70224528 has 120 divisors (see below), whose sum is σ = 203049504. Its totient is φ = 20894720.

The previous prime is 70224527. The next prime is 70224541. The reversal of 70224528 is 82542207.

It is a junction number, because it is equal to n+sod(n) for n = 70224495 and 70224504.

It is not an unprimeable number, because it can be changed into a prime (70224521) 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, 621400 + ... + 621512.

Almost surely, 270224528 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 70224528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524752).

70224528 is an abundant number, since it is smaller than the sum of its proper divisors (132824976).

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

70224528 is a wasteful number, since it uses less digits than its factorization.

70224528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 70224528 is about 8380.0076372280. The cubic root of 70224528 is about 412.5686996689.

The spelling of 70224528 in words is "seventy million, two hundred twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 113 121 132 176 214 226 242 264 321 339 363 428 452 484 528 642 678 726 856 904 968 1177 1243 1284 1356 1452 1712 1808 1936 2354 2486 2568 2712 2904 3531 3729 4708 4972 5136 5424 5808 7062 7458 9416 9944 12091 12947 13673 14124 14916 18832 19888 24182 25894 27346 28248 29832 36273 38841 41019 48364 51788 54692 56496 59664 72546 77682 82038 96728 103576 109384 133001 145092 155364 164076 193456 207152 218768 266002 290184 310728 328152 399003 532004 580368 621456 656304 798006 1064008 1463011 1596012 2128016 2926022 3192024 4389033 5852044 6384048 8778066 11704088 17556132 23408176 35112264 70224528