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212002001992 = 231110333170663
BaseRepresentation
bin1100010101110001001…
…1011101010001001000
3202021012210011120001201
43011130103131101020
511433140003030432
6241220430353544
721213415166314
oct3053423352110
9667183146051
10212002001992
1181a0066aa10
123510705b8b4
1316cb7a04cc1
14a3920a0b44
1557abe8cee7
hex315c4dd448

212002001992 has 64 divisors (see below), whose sum is σ = 439179586560. Its totient is φ = 95139316800.

The previous prime is 212002001987. The next prime is 212002002049. The reversal of 212002001992 is 299100200212.

It is a self number, because there is not a number n which added to its sum of digits gives 212002001992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964853 + ... + 3035515.

It is an arithmetic number, because the mean of its divisors is an integer number (6862181040).

Almost surely, 2212002001992 is an apocalyptic number.

212002001992 is a gapful number since it is divisible by the number (22) 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 212002001992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219589793280).

212002001992 is an abundant number, since it is smaller than the sum of its proper divisors (227177584568).

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

212002001992 is a wasteful number, since it uses less digits than its factorization.

212002001992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71114 (or 71110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 212002001992 in words is "two hundred twelve billion, two million, one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 103 206 331 412 662 824 1133 1324 2266 2648 3641 4532 7282 9064 14564 29128 34093 68186 70663 136372 141326 272744 282652 375023 565304 750046 777293 1500092 1554586 3000184 3109172 6218344 7278289 14556578 23389453 29113156 46778906 58226312 80061179 93557812 160122358 187115624 257283983 320244716 514567966 640489432 1029135932 2058271864 2409113659 4818227318 9636454636 19272909272 26500250249 53000500498 106001000996 212002001992