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97221984 = 2537313873
BaseRepresentation
bin1011100101101…
…11110101100000
320202221101111020
411302313311200
5144342100414
613351445440
72260242006
oct562676540
9222841436
1097221984
114a974352
1228686880
13171b0202
14ccaaa76
1588067a9
hex5cb7d60

97221984 has 48 divisors (see below), whose sum is σ = 258722352. Its totient is φ = 31961088.

The previous prime is 97221973. The next prime is 97222001. The reversal of 97221984 is 48912279.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×972219842 = 18904228345792512, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 13944.

It is an arithmetic number, because the mean of its divisors is an integer number (5390049).

Almost surely, 297221984 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 97221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129361176).

97221984 is an abundant number, since it is smaller than the sum of its proper divisors (161500368).

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

97221984 is a wasteful number, since it uses less digits than its factorization.

97221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959 (or 13951 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 97221984 is about 9860.1208917538. The cubic root of 97221984 is about 459.8203204992.

The spelling of 97221984 in words is "ninety-seven million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 13873 27746 41619 55492 83238 110984 166476 221968 332952 443936 665904 1012729 1331808 2025458 3038187 4050916 6076374 8101832 12152748 16203664 24305496 32407328 48610992 97221984