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229142201344 = 2107221372
BaseRepresentation
bin1101010101100111110…
…0001000010000000000
3210220110022110220022221
43111121330020100000
512223240400420334
6253133320340424
722361233401100
oct3253174102000
9726408426287
10229142201344
11891a6887421
12384ab314714
13187b9a753b4
14b13a637200
155e61b0a8b4
hex3559f08400

229142201344 has 99 divisors (see below), whose sum is σ = 533095499853. Its totient is φ = 98157846528.

The previous prime is 229142201341. The next prime is 229142201363. The reversal of 229142201344 is 443102241922.

The square root of 229142201344 is 478688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10387686400 + 218754514944 = 101920^2 + 467712^2 .

It is a super-2 number, since 2×2291422013442 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229142201341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107225044 + ... + 107227180.

Almost surely, 2229142201344 is an apocalyptic number.

229142201344 is the 478688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229142201344

229142201344 is an abundant number, since it is smaller than the sum of its proper divisors (303953298509).

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

229142201344 is an frugal number, since it uses more digits than its factorization.

229142201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 229142201344 in words is "two hundred twenty-nine billion, one hundred forty-two million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2137 3136 3584 4274 6272 7168 8548 12544 14959 17096 25088 29918 34192 50176 59836 68384 104713 119672 136768 209426 239344 273536 418852 478688 547072 837704 957376 1094144 1675408 1914752 2188288 3350816 3829504 4566769 6701632 7659008 9133538 13403264 15318016 18267076 26806528 31967383 36534152 53613056 63934766 73068304 107226112 127869532 146136608 223771681 255739064 292273216 447543362 511478128 584546432 895086724 1022956256 1169092864 1790173448 2045912512 2338185728 3580346896 4091825024 4676371456 7160693792 8183650048 14321387584 16367300096 28642775168 32734600192 57285550336 114571100672 229142201344