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1997196100 = 22524121092
BaseRepresentation
bin111011100001010…
…1100101101000100
312011012002001222221
41313002230231010
513042240233400
6530102502124
7100330613104
oct16702545504
95135061887
101997196100
11935401a99
12478a34944
1325aa05053
1414d369204
15ba50bc1a
hex770acb44

1997196100 has 81 divisors (see below), whose sum is σ = 4483326981. Its totient is φ = 772243200.

The previous prime is 1997196073. The next prime is 1997196107. The reversal of 1997196100 is 16917991.

It is a happy number.

The square root of 1997196100 is 44690.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1842641476 + 154554624 = 42926^2 + 12432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1997196107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18322846 + ... + 18322954.

Almost surely, 21997196100 is an apocalyptic number.

1997196100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1997196100 is the 44690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997196100

1997196100 is an abundant number, since it is smaller than the sum of its proper divisors (2486130881).

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

1997196100 is a wasteful number, since it uses less digits than its factorization.

1997196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 43.

The cubic root of 1997196100 is about 1259.3319924274.

The spelling of 1997196100 in words is "one billion, nine hundred ninety-seven million, one hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 109 164 205 218 410 436 545 820 1025 1090 1681 2050 2180 2725 3362 4100 4469 5450 6724 8405 8938 10900 11881 16810 17876 22345 23762 33620 42025 44690 47524 59405 84050 89380 111725 118810 168100 183229 223450 237620 297025 366458 446900 487121 594050 732916 916145 974242 1188100 1832290 1948484 2435605 3664580 4580725 4871210 9161450 9742420 12178025 18322900 19971961 24356050 39943922 48712100 79887844 99859805 199719610 399439220 499299025 998598050 1997196100