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97222656 = 21532343
BaseRepresentation
bin1011100101110…
…00000000000000
320202221102102010
411302320000000
5144342111111
613351452520
72260243656
oct562700000
9222842363
1097222656
114a974903
1228687140
13171b05cb
14ccaadd6
158806aa6
hex5cb8000

97222656 has 128 divisors (see below), whose sum is σ = 276819840. Its totient is φ = 30277632.

The previous prime is 97222651. The next prime is 97222687. The reversal of 97222656 is 65622279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97222651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260971 + ... + 2261013.

It is an arithmetic number, because the mean of its divisors is an integer number (2162655).

Almost surely, 297222656 is an apocalyptic number.

97222656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138409920).

97222656 is an abundant number, since it is smaller than the sum of its proper divisors (179597184).

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

97222656 is an equidigital number, since it uses as much as digits as its factorization.

97222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 97222656 is about 9860.1549683562. The cubic root of 97222656 is about 459.8213799254.

The spelling of 97222656 in words is "ninety-seven million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 256 258 276 344 368 384 512 516 552 688 736 768 989 1024 1032 1104 1376 1472 1536 1978 2048 2064 2208 2752 2944 2967 3072 3956 4096 4128 4416 5504 5888 5934 6144 7912 8192 8256 8832 11008 11776 11868 12288 15824 16384 16512 17664 22016 23552 23736 24576 31648 32768 33024 35328 44032 47104 47472 49152 63296 66048 70656 88064 94208 94944 98304 126592 132096 141312 176128 188416 189888 253184 264192 282624 352256 376832 379776 506368 528384 565248 704512 753664 759552 1012736 1056768 1130496 1409024 1519104 2025472 2113536 2260992 3038208 4050944 4227072 6076416 8101888 12152832 16203776 24305664 32407552 48611328 97222656