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295225216 = 2711131272
BaseRepresentation
bin10001100110001…
…100011110000000
3202120111222212021
4101212030132000
51101034201331
645143411224
710213241626
oct2146143600
9676458767
10295225216
11141713090
1282a53b14
13492186a0
142b2cd516
151adb9211
hex1198c780

295225216 has 96 divisors (see below), whose sum is σ = 696449880. Its totient is φ = 122895360.

The previous prime is 295225207. The next prime is 295225219. The reversal of 295225216 is 612522592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295225219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324545 + ... + 2324671.

Almost surely, 2295225216 is an apocalyptic number.

295225216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348224940).

295225216 is an abundant number, since it is smaller than the sum of its proper divisors (401224664).

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

295225216 is a wasteful number, since it uses less digits than its factorization.

295225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 153 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 295225216 is about 17182.1190776924. The cubic root of 295225216 is about 665.8623865348.

The spelling of 295225216 in words is "two hundred ninety-five million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 127 128 143 176 208 254 286 352 416 508 572 704 832 1016 1144 1397 1408 1651 1664 2032 2288 2794 3302 4064 4576 5588 6604 8128 9152 11176 13208 16129 16256 18161 18304 22352 26416 32258 36322 44704 52832 64516 72644 89408 105664 129032 145288 177419 178816 209677 211328 258064 290576 354838 419354 516128 581152 709676 838708 1032256 1162304 1419352 1677416 2064512 2306447 2324608 2838704 3354832 4612894 5677408 6709664 9225788 11354816 13419328 18451576 22709632 26838656 36903152 73806304 147612608 295225216