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1228027608 = 233319734099
BaseRepresentation
bin100100100110010…
…0011011011011000
310011120202021012000
41021030203123120
510003333340413
6321504521000
742301030263
oct11114433330
93146667160
101228027608
1158020a355
122a3320160
13167558772
14b9147cda
1572c25073
hex493236d8

1228027608 has 128 divisors (see below), whose sum is σ = 3640800000. Its totient is φ = 382392576.

The previous prime is 1228027553. The next prime is 1228027621. The reversal of 1228027608 is 8067208221.

It is a happy number.

1228027608 is a `hidden beast` number, since 1 + 2 + 28 + 0 + 27 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297543 + ... + 301641.

It is an arithmetic number, because the mean of its divisors is an integer number (28443750).

Almost surely, 21228027608 is an apocalyptic number.

1228027608 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 1228027608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820400000).

1228027608 is an abundant number, since it is smaller than the sum of its proper divisors (2412772392).

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

1228027608 is a wasteful number, since it uses less digits than its factorization.

1228027608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1228027608 is about 35043.2248516029. The cubic root of 1228027608 is about 1070.8682526702.

The spelling of 1228027608 in words is "one billion, two hundred twenty-eight million, twenty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 108 114 146 152 171 216 219 228 292 342 438 456 513 584 657 684 876 1026 1314 1368 1387 1752 1971 2052 2628 2774 3942 4099 4104 4161 5256 5548 7884 8198 8322 11096 12297 12483 15768 16396 16644 24594 24966 32792 33288 36891 37449 49188 49932 73782 74898 77881 98376 99864 110673 147564 149796 155762 221346 233643 295128 299227 299592 311524 442692 467286 598454 623048 700929 885384 897681 934572 1196908 1401858 1795362 1869144 2102787 2393816 2693043 2803716 3590724 4205574 5386086 5607432 5685313 7181448 8079129 8411148 10772172 11370626 16158258 16822296 17055939 21544344 22741252 32316516 34111878 45482504 51167817 64633032 68223756 102335634 136447512 153503451 204671268 307006902 409342536 614013804 1228027608