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221075010 = 232513188953
BaseRepresentation
bin11010010110101…
…01011001000010
3120101222202220100
431023111121002
5423043400020
633534223230
75323051362
oct1513253102
9511882810
10221075010
11103877a22
1262054b16
1336a55b20
142150a9a2
151461da90
hexd2d5642

221075010 has 48 divisors (see below), whose sum is σ = 619013304. Its totient is φ = 54418176.

The previous prime is 221075003. The next prime is 221075017. The reversal of 221075010 is 10570122.

It is an interprime number because it is at equal distance from previous prime (221075003) and next prime (221075017).

It can be written as a sum of positive squares in 4 ways, for example, as 91183401 + 129891609 = 9549^2 + 11397^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221075017) 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, 93307 + ... + 95646.

Almost surely, 2221075010 is an apocalyptic number.

221075010 is an abundant number, since it is smaller than the sum of its proper divisors (397938294).

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

221075010 is a wasteful number, since it uses less digits than its factorization.

221075010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188979 (or 188976 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 221075010 is about 14868.5913925967. The cubic root of 221075010 is about 604.6627540101.

The spelling of 221075010 in words is "two hundred twenty-one million, seventy-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 188953 377906 566859 944765 1133718 1700577 1889530 2456389 2834295 3401154 4912778 5668590 7369167 8502885 12281945 14738334 17005770 22107501 24563890 36845835 44215002 73691670 110537505 221075010