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385354228 = 22729720269
BaseRepresentation
bin10110111110000…
…000100111110100
3222212010000121211
4112332000213310
51242122313403
6102123251204
712356312500
oct2676004764
9885100554
10385354228
11188582376
12a9079b04
1361ab426c
1439271300
1523c6e06d
hex16f809f4

385354228 has 36 divisors (see below), whose sum is σ = 792597540. Its totient is φ = 163441152.

The previous prime is 385354201. The next prime is 385354241. The reversal of 385354228 is 822453583.

It can be written as a sum of positive squares in 2 ways, for example, as 238023184 + 147331044 = 15428^2 + 12138^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8878 + ... + 29146.

Almost surely, 2385354228 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 385354228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396298770).

385354228 is an abundant number, since it is smaller than the sum of its proper divisors (407243312).

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

385354228 is a wasteful number, since it uses less digits than its factorization.

385354228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384 (or 20375 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 385354228 is about 19630.4413602955. The cubic root of 385354228 is about 727.7016775718.

It can be divided in two parts, 3853 and 54228, that added together give a square (58081 = 2412).

The spelling of 385354228 in words is "three hundred eighty-five million, three hundred fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 9506 19012 20269 40538 81076 141883 283766 567532 993181 1966093 1986362 3932186 3972724 7864372 13762651 27525302 55050604 96338557 192677114 385354228