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97221024 = 253219109163
BaseRepresentation
bin1011100101101…
…11100110100000
320202221100011200
411302313212200
5144342033044
613351441200
72260236135
oct562674640
9222840150
1097221024
114a97365a
1228686200
13171ac944
14ccaa58c
158806369
hex5cb79a0

97221024 has 144 divisors (see below), whose sum is σ = 295495200. Its totient is φ = 30233088.

The previous prime is 97221013. The next prime is 97221037. The reversal of 97221024 is 42012279.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596367 + ... + 596529.

It is an arithmetic number, because the mean of its divisors is an integer number (2052050).

Almost surely, 297221024 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 97221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147747600).

97221024 is an abundant number, since it is smaller than the sum of its proper divisors (198274176).

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

97221024 is a wasteful number, since it uses less digits than its factorization.

97221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 97221024 is about 9860.0722106889. The cubic root of 97221024 is about 459.8188070248.

The spelling of 97221024 in words is "ninety-seven million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 109 114 144 152 163 171 218 228 288 304 326 327 342 436 456 489 608 652 654 684 872 912 978 981 1304 1308 1368 1467 1744 1824 1956 1962 2071 2608 2616 2736 2934 3097 3488 3912 3924 4142 5216 5232 5472 5868 6194 6213 7824 7848 8284 9291 10464 11736 12388 12426 15648 15696 16568 17767 18582 18639 23472 24776 24852 27873 31392 33136 35534 37164 37278 46944 49552 49704 53301 55746 66272 71068 74328 74556 99104 99408 106602 111492 142136 148656 149112 159903 198816 213204 222984 284272 297312 298224 319806 337573 426408 445968 568544 596448 639612 675146 852816 891936 1012719 1279224 1350292 1705632 2025438 2558448 2700584 3038157 4050876 5116896 5401168 6076314 8101752 10802336 12152628 16203504 24305256 32407008 48610512 97221024