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188214272 = 210414483
BaseRepresentation
bin10110011011111…
…10110000000000
3111010011021102222
423031332300000
5341140324042
630402030212
74443536441
oct1315766000
9433137388
10188214272
1197273194
1253048368
132ccbb9bc
141add52c8
15117cc2d2
hexb37ec00

188214272 has 44 divisors (see below), whose sum is σ = 385507416. Its totient is φ = 91791360.

The previous prime is 188214251. The next prime is 188214283. The reversal of 188214272 is 272412881.

It is a super-2 number, since 2×1882142722 = 70849224368979968, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 39743 + ... + 44225.

Almost surely, 2188214272 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 188214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192753708).

188214272 is an abundant number, since it is smaller than the sum of its proper divisors (197293144).

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

188214272 is an equidigital number, since it uses as much as digits as its factorization.

188214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4526 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 188214272 is about 13719.1206715299. The cubic root of 188214272 is about 573.0829890753.

The spelling of 188214272 in words is "one hundred eighty-eight million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 4483 5248 8966 10496 17932 20992 35864 41984 71728 143456 183803 286912 367606 573824 735212 1147648 1470424 2295296 2940848 4590592 5881696 11763392 23526784 47053568 94107136 188214272