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228926928 = 24329253107
BaseRepresentation
bin11011010010100…
…10010111010000
3120221202200201010
431221102113100
5432101130203
634414410520
75446563306
oct1551222720
9527680633
10228926928
1110825020a
1264800a40
1338574a29
1422592276
1515170303
hexda525d0

228926928 has 120 divisors (see below), whose sum is σ = 629879328. Its totient is φ = 71611904.

The previous prime is 228926897. The next prime is 228926941. The reversal of 228926928 is 829629822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139451 + ... + 2139557.

Almost surely, 2228926928 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 228926928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314939664).

228926928 is an abundant number, since it is smaller than the sum of its proper divisors (400952400).

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

228926928 is a wasteful number, since it uses less digits than its factorization.

228926928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 228926928 is about 15130.3313909511. The cubic root of 228926928 is about 611.7382365535.

The spelling of 228926928 in words is "two hundred twenty-eight million, nine hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 107 116 159 174 212 214 232 318 321 348 424 428 464 636 642 696 841 848 856 1272 1284 1392 1537 1682 1712 2523 2544 2568 3074 3103 3364 4611 5046 5136 5671 6148 6206 6728 9222 9309 10092 11342 12296 12412 13456 17013 18444 18618 20184 22684 24592 24824 34026 36888 37236 40368 44573 45368 49648 68052 73776 74472 89146 89987 90736 133719 136104 148944 164459 178292 179974 267438 269961 272208 328918 356584 359948 493377 534876 539922 657836 713168 719896 986754 1069752 1079844 1315672 1439792 1973508 2139504 2159688 2631344 3947016 4319376 4769311 7894032 9538622 14307933 19077244 28615866 38154488 57231732 76308976 114463464 228926928