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97915797225 = 32522329072
BaseRepresentation
bin101101100110000111…
…1000111111011101001
3100100201220211212112100
41123030033013323221
53101012421002400
6112552031204013
710034305354401
oct1331417077351
9310656755470
1097915797225
1138586a07774
1216b87976609
139305a9306c
144a4c327801
152831293100
hex16cc3c7ee9

97915797225 has 81 divisors (see below), whose sum is σ = 183537089463. Its totient is φ = 49896174240.

The previous prime is 97915797211. The next prime is 97915797251. The reversal of 97915797225 is 52279751979.

The square root of 97915797225 is 312915.

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

It can be written as a sum of positive squares in only one way, i.e., 35249687001 + 62666110224 = 187749^2 + 250332^2 .

It is a de Polignac number, because none of the positive numbers 2k-97915797225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107955222 + ... + 107956128.

Almost surely, 297915797225 is an apocalyptic number.

97915797225 is the 312915-th square number.

97915797225 is the 156458-th centered octagonal number.

It is an amenable number.

97915797225 is a deficient number, since it is larger than the sum of its proper divisors (85621292238).

97915797225 is an equidigital number, since it uses as much as digits as its factorization.

97915797225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 938 counting only the distinct ones).

The product of its digits is 25004700, while the sum is 63.

The spelling of 97915797225 in words is "ninety-seven billion, nine hundred fifteen million, seven hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 907 1035 1587 1725 2645 2721 4535 4761 5175 7935 8163 13225 13605 20861 22675 23805 39675 40815 62583 68025 104305 119025 187749 204075 312915 479803 521525 822649 938745 1439409 1564575 2399015 2467947 4113245 4318227 4693725 7197045 7403841 11995075 12339735 18920927 20566225 21591135 35985225 37019205 56762781 61698675 94604635 107955675 170288343 185096025 283813905 435181321 473023175 851441715 1305543963 1419069525 2175906605 3916631889 4257208575 6527719815 10879533025 19583159445 32638599075 97915797225