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97022640 = 243511213257
BaseRepresentation
bin1011100100001…
…11001010110000
320202120021001010
411302013022300
5144314211030
613343310520
72255451561
oct562071260
9222507033
1097022640
114a848600
12285ab440
1317140560
14cc58168
1587b76b0
hex5c872b0

97022640 has 240 divisors, whose sum is σ = 357414624. Its totient is φ = 21626880.

The previous prime is 97022599. The next prime is 97022641. The reversal of 97022640 is 4622079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97022598 and 97022607.

It is not an unprimeable number, because it can be changed into a prime (97022641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377392 + ... + 377648.

Almost surely, 297022640 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 97022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178707312).

97022640 is an abundant number, since it is smaller than the sum of its proper divisors (260391984).

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

97022640 is a wasteful number, since it uses less digits than its factorization.

97022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 97022640 is about 9850.0071065964. The cubic root of 97022640 is about 459.5058335286.

The spelling of 97022640 in words is "ninety-seven million, twenty-two thousand, six hundred forty".