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221353074 = 235613743
BaseRepresentation
bin11010011000110…
…01010001110010
3120102111220100000
431030121101302
5423131244244
633544210430
75325320145
oct1514312162
9512456300
10221353074
11103a47928
1262169a16
1336b22567
142158005c
1514676169
hexd319472

221353074 has 48 divisors (see below), whose sum is σ = 498843072. Its totient is φ = 73564848.

The previous prime is 221353061. The next prime is 221353103. The reversal of 221353074 is 470353122.

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

It is an unprimeable number.

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, 297547 + ... + 298289.

It is an arithmetic number, because the mean of its divisors is an integer number (10392564).

Almost surely, 2221353074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221353074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421536).

221353074 is an abundant number, since it is smaller than the sum of its proper divisors (277489998).

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

221353074 is an equidigital number, since it uses as much as digits as its factorization.

221353074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 221353074 is about 14877.9391718074. The cubic root of 221353074 is about 604.9161589531.

The spelling of 221353074 in words is "two hundred twenty-one million, three hundred fifty-three thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 613 743 1226 1486 1839 2229 3678 4458 5517 6687 11034 13374 16551 20061 33102 40122 49653 60183 99306 120366 148959 180549 297918 361098 455459 910918 1366377 2732754 4099131 8198262 12297393 24594786 36892179 73784358 110676537 221353074