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97710228 = 2232711101349
BaseRepresentation
bin1011101001011…
…11000010010100
320210212012020100
411310233002110
5200003211403
613410134100
72264344320
oct564570224
9223765210
1097710228
1150178160
1228881330
1317321505
14cd96980
1588a12a3
hex5d2f094

97710228 has 144 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 25056000.

The previous prime is 97710199. The next prime is 97710241. The reversal of 97710228 is 82201779.

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 = 97710192 and 97710201.

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 47 ways as a sum of consecutive naturals, for example, 279798 + ... + 280146.

It is an arithmetic number, because the mean of its divisors is an integer number (2165800).

Almost surely, 297710228 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 97710228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

97710228 is an abundant number, since it is smaller than the sum of its proper divisors (214164972).

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

97710228 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (97710227) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (478).

97710228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97710228 is about 9884.8484055144. The cubic root of 97710228 is about 460.5887672074.

The spelling of 97710228 in words is "ninety-seven million, seven hundred ten thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 101 126 132 154 198 202 231 252 303 308 349 396 404 462 606 693 698 707 909 924 1047 1111 1212 1386 1396 1414 1818 2094 2121 2222 2443 2772 2828 3141 3333 3636 3839 4188 4242 4444 4886 6282 6363 6666 7329 7678 7777 8484 9772 9999 11517 12564 12726 13332 14658 15356 15554 19998 21987 23034 23331 25452 26873 29316 31108 34551 35249 39996 43974 46068 46662 53746 69102 69993 70498 80619 87948 93324 105747 107492 138204 139986 140996 161238 211494 241857 246743 279972 317241 322476 387739 422988 483714 493486 634482 740229 775478 967428 986972 1163217 1268964 1480458 1550956 2220687 2326434 2714173 2960916 3489651 4441374 4652868 5428346 6979302 8142519 8882748 10856692 13958604 16285038 24427557 32570076 48855114 97710228