Search a number
-
+
197009296 = 24114292
BaseRepresentation
bin10111011111000…
…01111110010000
3111201201002221121
423233201332100
5400413244141
631314332024
74611360061
oct1357417620
9451632847
10197009296
11a1230000
1255b8a014
1331a7ac63
141c244568
15124681d1
hexbbe1f90

197009296 has 75 divisors (see below), whose sum is σ = 434851105. Its totient is φ = 86461760.

The previous prime is 197009291. The next prime is 197009297. The reversal of 197009296 is 692900791.

The square root of 197009296 is 14036.

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., 103306896 + 93702400 = 10164^2 + 9680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197009291) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6793410 + ... + 6793438.

Almost surely, 2197009296 is an apocalyptic number.

197009296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197009296 is the 14036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197009296

197009296 is an abundant number, since it is smaller than the sum of its proper divisors (237841809).

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

197009296 is an frugal number, since it uses more digits than its factorization.

197009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The cubic root of 197009296 is about 581.8739389155.

The spelling of 197009296 in words is "one hundred ninety-seven million, nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 841 968 1276 1331 1682 1936 2552 2662 3364 3509 5104 5324 6728 7018 9251 10648 13456 14036 14641 18502 21296 28072 29282 37004 38599 56144 58564 74008 77198 101761 117128 148016 154396 203522 234256 308792 407044 424589 617584 814088 849178 1119371 1628176 1698356 2238742 3396712 4477484 6793424 8954968 12313081 17909936 24626162 49252324 98504648 197009296