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77235228 = 22337192283
BaseRepresentation
bin1001001101010…
…00010000011100
312101022221211000
410212220100130
5124233011403
611355230300
71625326410
oct446502034
9171287730
1077235228
113a662a74
1221a48390
1313002b25
14a386d40
156ba97a3
hex49a841c

77235228 has 144 divisors (see below), whose sum is σ = 242376960. Its totient is φ = 20831904.

The previous prime is 77235227. The next prime is 77235239. The reversal of 77235228 is 82253277.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 77235192 and 77235201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77235227) 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, 272775 + ... + 273057.

Almost surely, 277235228 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 77235228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121188480).

77235228 is an abundant number, since it is smaller than the sum of its proper divisors (165141732).

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

77235228 is a wasteful number, since it uses less digits than its factorization.

77235228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 77235228 is about 8788.3575257269. The cubic root of 77235228 is about 425.8648648936.

The spelling of 77235228 in words is "seventy-seven million, two hundred thirty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 283 342 361 378 399 513 532 566 684 722 756 798 849 1026 1083 1132 1197 1444 1596 1698 1981 2052 2166 2394 2527 2547 3249 3396 3591 3962 4332 4788 5054 5094 5377 5943 6498 7182 7581 7641 7924 9747 10108 10188 10754 11886 12996 14364 15162 15282 16131 17829 19494 21508 22743 23772 30324 30564 32262 35658 37639 38988 45486 48393 53487 64524 68229 71316 75278 90972 96786 102163 106974 112917 136458 145179 150556 193572 204326 213948 225834 272916 290358 306489 338751 408652 451668 580716 612978 677502 715141 919467 1016253 1225956 1355004 1430282 1838934 2032506 2145423 2758401 2860564 3677868 4065012 4290846 5516802 6436269 8581692 11033604 12872538 19308807 25745076 38617614 77235228