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97022500 = 22541972
BaseRepresentation
bin1011100100001…
…11001000100100
320202120020211221
411302013020210
5144314210000
613343310124
72255451301
oct562071044
9222506757
1097022500
114a848493
12285ab344
1317140483
14cc580a8
1587b761a
hex5c87224

97022500 has 45 divisors (see below), whose sum is σ = 213251269. Its totient is φ = 38612000.

The previous prime is 97022479. The next prime is 97022537. The reversal of 97022500 is 522079.

The square root of 97022500 is 9850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16597476 + 80425024 = 4074^2 + 8968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 492402 + ... + 492598.

Almost surely, 297022500 is an apocalyptic number.

97022500 is the 9850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97022500

97022500 is an abundant number, since it is smaller than the sum of its proper divisors (116228769).

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

97022500 is an equidigital number, since it uses as much as digits as its factorization.

97022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The cubic root of 97022500 is about 459.5056125120.

Multiplying 97022500 by its sum of digits (25), we get a square (2425562500 = 492502).

97022500 divided by its sum of digits (25) gives a square (3880900 = 19702).

Adding to 97022500 its reverse (522079), we get a palindrome (97544579).

It can be divided in two parts, 9 and 7022500, that multiplied together give a square (63202500 = 79502).

The spelling of 97022500 in words is "ninety-seven million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 625 788 985 1250 1970 2500 3940 4925 9850 19700 24625 38809 49250 77618 98500 123125 155236 194045 246250 388090 492500 776180 970225 1940450 3880900 4851125 9702250 19404500 24255625 48511250 97022500