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97221564 = 22321132029
BaseRepresentation
bin1011100101101…
…11101110111100
320202221100220200
411302313232330
5144342042224
613351443500
72260240536
oct562675674
9222840820
1097221564
114a974000
1228686590
13171acc6b
14ccaa856
1588065c9
hex5cb7bbc

97221564 has 72 divisors (see below), whose sum is σ = 270444720. Its totient is φ = 29446560.

The previous prime is 97221541. The next prime is 97221571. The reversal of 97221564 is 46512279.

97221564 is a `hidden beast` number, since 9 + 72 + 21 + 564 = 666.

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

It is a congruent number.

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, 46902 + ... + 48930.

Almost surely, 297221564 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 97221564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135222360).

97221564 is an abundant number, since it is smaller than the sum of its proper divisors (173223156).

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

97221564 is a wasteful number, since it uses less digits than its factorization.

97221564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2045 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 97221564 is about 9860.0995938175. The cubic root of 97221564 is about 459.8196583553.

It can be divided in two parts, 972215 and 64, that added together give a palindrome (972279).

The spelling of 97221564 in words is "ninety-seven million, two hundred twenty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2029 2178 2662 3993 4058 4356 5324 6087 7986 8116 11979 12174 15972 18261 22319 23958 24348 36522 44638 47916 66957 73044 89276 133914 200871 245509 267828 401742 491018 736527 803484 982036 1473054 2209581 2700599 2946108 4419162 5401198 8101797 8838324 10802396 16203594 24305391 32407188 48610782 97221564