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97225476100 = 2252311812
BaseRepresentation
bin101101010001100010…
…1110000100000000100
3100021221210212220222021
41122203011300200010
53043104210213400
6112355331212524
710011223624354
oct1324305604004
9307853786867
1097225476100
1138262279245
1216a14747144
139225a6231c
1449c478cb64
1527e088371a
hex16a3170804

97225476100 has 27 divisors (see below), whose sum is σ = 210986049631. Its totient is φ = 38888943200.

The previous prime is 97225476079. The next prime is 97225476107. The reversal of 97225476100 is 167452279.

The square root of 97225476100 is 311810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47599894276 + 49625581824 = 218174^2 + 222768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97225476107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3102510 + ... + 3133690.

Almost surely, 297225476100 is an apocalyptic number.

97225476100 is the 311810-th square number.

It is an amenable number.

97225476100 is an abundant number, since it is smaller than the sum of its proper divisors (113760573531).

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

97225476100 is an frugal number, since it uses more digits than its factorization.

97225476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62376 (or 31188 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 97225476100 in words is "ninety-seven billion, two hundred twenty-five million, four hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 31181 62362 124724 155905 311810 623620 779525 1559050 3118100 972254761 1944509522 3889019044 4861273805 9722547610 19445095220 24306369025 48612738050 97225476100