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196722240100 = 225237279719009
BaseRepresentation
bin1011011100110110001…
…1110010101001100100
3200210202220121020012121
42313031203302221210
511210341343140400
6230212320155324
720132650310461
oct2671543625144
9623686536177
10196722240100
117647a637721
1232161a68b44
1315721225a89
149742a54668
1551b581621a
hex2dcd8f2a64

196722240100 has 72 divisors (see below), whose sum is σ = 438604575080. Its totient is φ = 76530769920.

The previous prime is 196722240089. The next prime is 196722240191. The reversal of 196722240100 is 1042227691.

It can be written as a sum of positive squares in 12 ways, for example, as 6927424 + 196715312676 = 2632^2 + 443526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10339396 + ... + 10358404.

Almost surely, 2196722240100 is an apocalyptic number.

196722240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196722240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219302287540).

196722240100 is an abundant number, since it is smaller than the sum of its proper divisors (241882334980).

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

196722240100 is a wasteful number, since it uses less digits than its factorization.

196722240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21857 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 196722240100 its reverse (1042227691), we get a palindrome (197764467791).

The spelling of 196722240100 in words is "one hundred ninety-six billion, seven hundred twenty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 2797 3700 5594 11188 13985 19009 27970 38018 55940 69925 76036 95045 103489 139850 190090 206978 279700 380180 413956 475225 517445 703333 950450 1034890 1406666 1900900 2069780 2587225 2813332 3516665 5174450 7033330 10348900 14066660 17583325 35166650 53168173 70333300 106336346 212672692 265840865 531681730 1063363460 1329204325 1967222401 2658408650 3934444802 5316817300 7868889604 9836112005 19672224010 39344448020 49180560025 98361120050 196722240100