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221085295650 = 23252491300657
BaseRepresentation
bin1100110111100110110…
…1011110010000100010
3210010122210222200111100
43031321231132100202
512110240313430100
6245322025055230
721654462002112
oct3157155362042
9703583880440
10221085295650
118584198197a
1236a21027516
1317b047c988b
14a9b4599042
155b3e61e400
hex3379b5e422

221085295650 has 36 divisors (see below), whose sum is σ = 593982495522. Its totient is φ = 58956078720.

The previous prime is 221085295621. The next prime is 221085295679. The reversal of 221085295650 is 56592580122.

221085295650 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 85 + 2 + 9 + 565 + 0 = 666.

221085295650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221085295621) and next prime (221085295679).

It can be written as a sum of positive squares in 3 ways, for example, as 185560208289 + 35525087361 = 430767^2 + 188481^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 221085295596 and 221085295605.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 245649879 + ... + 245650778.

Almost surely, 2221085295650 is an apocalyptic number.

221085295650 is an abundant number, since it is smaller than the sum of its proper divisors (372897199872).

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

221085295650 is a wasteful number, since it uses less digits than its factorization.

221085295650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491300675 (or 491300667 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 221085295650 in words is "two hundred twenty-one billion, eighty-five million, two hundred ninety-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 491300657 982601314 1473901971 2456503285 2947803942 4421705913 4913006570 7369509855 8843411826 12282516425 14739019710 22108529565 24565032850 36847549275 44217059130 73695098550 110542647825 221085295650