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97228068 = 223729167239
BaseRepresentation
bin1011100101110…
…01010100100100
320202221200211120
411302321110210
5144342244233
613351533540
72260265520
oct562712444
9222850746
1097228068
114a978983
122868a2b0
13171b2c02
14ccacd80
1588084b3
hex5cb9524

97228068 has 96 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 26549376.

The previous prime is 97228067. The next prime is 97228081. The reversal of 97228068 is 86082279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (97228063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 406693 + ... + 406931.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 297228068 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 97228068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

97228068 is an abundant number, since it is smaller than the sum of its proper divisors (173722332).

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

97228068 is a wasteful number, since it uses less digits than its factorization.

97228068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 97228068 is about 9860.4294024145. The cubic root of 97228068 is about 459.8299119118.

The spelling of 97228068 in words is "ninety-seven million, two hundred twenty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 167 174 203 239 334 348 406 478 501 609 668 717 812 956 1002 1169 1218 1434 1673 2004 2338 2436 2868 3346 3507 4676 4843 5019 6692 6931 7014 9686 10038 13862 14028 14529 19372 20076 20793 27724 29058 33901 39913 41586 48517 58116 67802 79826 83172 97034 101703 119739 135604 145551 159652 194068 203406 239478 279391 291102 406812 478956 558782 582204 838173 1117564 1157477 1676346 2314954 3352692 3472431 4629908 6944862 8102339 13889724 16204678 24307017 32409356 48614034 97228068