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1228626828 = 22321113415821
BaseRepresentation
bin100100100111011…
…0101101110001100
310011121212201011100
41021032311232030
510004012024303
6321525423100
742306104262
oct11116655614
93147781140
101228626828
11580589580
122a356aa90
13167708430
14b9262432
1572ce28a3
hex493b5b8c

1228626828 has 144 divisors (see below), whose sum is σ = 3738282912. Its totient is φ = 335232000.

The previous prime is 1228626827. The next prime is 1228626853. The reversal of 1228626828 is 8286268221.

1228626828 is a `hidden beast` number, since 12 + 2 + 8 + 626 + 8 + 2 + 8 = 666.

1228626828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1228626821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208158 + ... + 213978.

It is an arithmetic number, because the mean of its divisors is an integer number (25960298).

Almost surely, 21228626828 is an apocalyptic number.

1228626828 is a gapful number since it is divisible by the number (18) 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 1228626828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869141456).

1228626828 is an abundant number, since it is smaller than the sum of its proper divisors (2509656084).

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

1228626828 is a wasteful number, since it uses less digits than its factorization.

1228626828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5891 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1228626828 is about 35051.7735357285. The cubic root of 1228626828 is about 1071.0424022109.

The spelling of 1228626828 in words is "one billion, two hundred twenty-eight million, six hundred twenty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 41 44 52 66 78 82 99 117 123 132 143 156 164 198 234 246 286 369 396 429 451 468 492 533 572 738 858 902 1066 1287 1353 1476 1599 1716 1804 2132 2574 2706 3198 4059 4797 5148 5412 5821 5863 6396 8118 9594 11642 11726 16236 17463 17589 19188 23284 23452 34926 35178 52389 52767 64031 69852 70356 75673 104778 105534 128062 151346 192093 209556 211068 227019 238661 256124 302692 384186 454038 477322 576279 681057 715983 768372 832403 908076 954644 1152558 1362114 1431966 1664806 2147949 2305116 2497209 2625271 2724228 2863932 3102593 3329612 4295898 4994418 5250542 6205186 7491627 7875813 8591796 9307779 9988836 10501084 12410372 14983254 15751626 18615558 23627439 27923337 29966508 31503252 34128523 37231116 47254878 55846674 68257046 94509756 102385569 111693348 136514092 204771138 307156707 409542276 614313414 1228626828