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97223616 = 2632724113
BaseRepresentation
bin1011100101110…
…00001111000000
320202221110201200
411302320033000
5144342123431
613351501200
72260246530
oct562701700
9222843650
1097223616
114a9755a6
1228687800
13171b0b89
14ccab4c0
158806ee6
hex5cb83c0

97223616 has 84 divisors (see below), whose sum is σ = 318497712. Its totient is φ = 27777024.

The previous prime is 97223611. The next prime is 97223699. The reversal of 97223616 is 61632279.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97223611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8025 + ... + 16088.

Almost surely, 297223616 is an apocalyptic number.

97223616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97223616 is an abundant number, since it is smaller than the sum of its proper divisors (221274096).

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

97223616 is a wasteful number, since it uses less digits than its factorization.

97223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24125 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 97223616 is about 9860.2036490125. The cubic root of 97223616 is about 459.8228933829.

The spelling of 97223616 in words is "ninety-seven million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 24113 48226 72339 96452 144678 168791 192904 217017 289356 337582 385808 434034 506373 578712 675164 771616 868068 1012746 1157424 1350328 1519119 1543232 1736136 2025492 2314848 2700656 3038238 3472272 4050984 4629696 5401312 6076476 6944544 8101968 10802624 12152952 13889088 16203936 24305904 32407872 48611808 97223616