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228271392 = 2533431613
BaseRepresentation
bin11011001101100…
…10010100100000
3120220112101111000
431212302110200
5431414141032
634352352000
75441163156
oct1546622440
9526471430
10228271392
11107942748
1264545600
13383a553b
14224613d6
1515090e7c
hexd9b2520

228271392 has 96 divisors (see below), whose sum is σ = 668424960. Its totient is φ = 75790080.

The previous prime is 228271387. The next prime is 228271399. The reversal of 228271392 is 293172822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228271399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372078 + ... + 372690.

It is an arithmetic number, because the mean of its divisors is an integer number (6962760).

Almost surely, 2228271392 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 228271392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334212480).

228271392 is an abundant number, since it is smaller than the sum of its proper divisors (440153568).

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

228271392 is a wasteful number, since it uses less digits than its factorization.

228271392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 228271392 is about 15108.6528850192. The cubic root of 228271392 is about 611.1537708426.

The spelling of 228271392 in words is "two hundred twenty-eight million, two hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 431 432 613 862 864 1226 1293 1724 1839 2452 2586 3448 3678 3879 4904 5172 5517 6896 7356 7758 9808 10344 11034 11637 13792 14712 15516 16551 19616 20688 22068 23274 29424 31032 33102 41376 44136 46548 58848 62064 66204 88272 93096 124128 132408 176544 186192 264203 264816 372384 528406 529632 792609 1056812 1585218 2113624 2377827 3170436 4227248 4755654 6340872 7133481 8454496 9511308 12681744 14266962 19022616 25363488 28533924 38045232 57067848 76090464 114135696 228271392