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97220880 = 24325135029
BaseRepresentation
bin1011100101101…
…11100100010000
320202221022222100
411302313210100
5144342032010
613351440400
72260235541
oct562674420
9222838870
1097220880
114a973539
1228686100
13171ac863
14ccaa4c8
1588062c0
hex5cb7910

97220880 has 60 divisors (see below), whose sum is σ = 326502540. Its totient is φ = 25925376.

The previous prime is 97220873. The next prime is 97220899. The reversal of 97220880 is 8802279.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 76317696 = 4572^2 + 8736^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 66795 + ... + 68234.

It is an arithmetic number, because the mean of its divisors is an integer number (5441709).

Almost surely, 297220880 is an apocalyptic number.

97220880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97220880 is an abundant number, since it is smaller than the sum of its proper divisors (229281660).

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

97220880 is a wasteful number, since it uses less digits than its factorization.

97220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135048 (or 135039 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97220880 is about 9860.0649085085. The cubic root of 97220880 is about 459.8185800027.

The spelling of 97220880 in words is "ninety-seven million, two hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 135029 270058 405087 540116 675145 810174 1080232 1215261 1350290 1620348 2025435 2160464 2430522 2700580 3240696 4050870 4861044 5401160 6076305 6481392 8101740 9722088 10802320 12152610 16203480 19444176 24305220 32406960 48610440 97220880