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228125592 = 23332347977
BaseRepresentation
bin11011001100011…
…10101110011000
3120220020222111000
431212032232120
5431400004332
634345305000
75440015122
oct1546165630
9526228430
10228125592
11107853152
1264495160
1338354076
1422424212
1515062b7c
hexd98eb98

228125592 has 128 divisors (see below), whose sum is σ = 675993600. Its totient is φ = 71115264.

The previous prime is 228125591. The next prime is 228125593. The reversal of 228125592 is 295521822.

228125592 is a `hidden beast` number, since 22 + 81 + 2 + 559 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (228125591) and next prime (228125593).

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 (228125591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233008 + ... + 233984.

It is an arithmetic number, because the mean of its divisors is an integer number (5281200).

Almost surely, 2228125592 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 228125592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337996800).

228125592 is an abundant number, since it is smaller than the sum of its proper divisors (447868008).

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

228125592 is a wasteful number, since it uses less digits than its factorization.

228125592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 228125592 is about 15103.8270646879. The cubic root of 228125592 is about 611.0236257598.

The spelling of 228125592 in words is "two hundred twenty-eight million, one hundred twenty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 92 94 108 138 141 184 188 207 216 276 282 376 414 423 552 564 621 828 846 977 1081 1128 1242 1269 1656 1692 1954 2162 2484 2538 2931 3243 3384 3908 4324 4968 5076 5862 6486 7816 8648 8793 9729 10152 11724 12972 17586 19458 22471 23448 25944 26379 29187 35172 38916 44942 45919 52758 58374 67413 70344 77832 89884 91838 105516 116748 134826 137757 179768 183676 202239 211032 233496 269652 275514 367352 404478 413271 539304 551028 606717 808956 826542 1056137 1102056 1213434 1239813 1617912 1653084 2112274 2426868 2479626 3168411 3306168 4224548 4853736 4959252 6336822 8449096 9505233 9918504 12673644 19010466 25347288 28515699 38020932 57031398 76041864 114062796 228125592