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212022001232 = 24611816011997
BaseRepresentation
bin1100010101110101111…
…1101111111001010000
3202021021011210121212022
43011131133233321100
511433210113014412
6241222423151012
721214050163166
oct3053537577120
9667234717768
10212022001232
1181a1098a708
12351118a5468
1316cbbbb7c82
14a3949c9236
1557adadda72
hex315d7efe50

212022001232 has 80 divisors (see below), whose sum is σ = 420742851984. Its totient is φ = 103472640000.

The previous prime is 212022001189. The next prime is 212022001271. The reversal of 212022001232 is 232100220212.

It can be written as a sum of positive squares in 8 ways, for example, as 102397440016 + 109624561216 = 319996^2 + 331096^2 .

It is a super-3 number, since 3×2120220012323 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212022001232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106169258 + ... + 106171254.

Almost surely, 2212022001232 is an apocalyptic number.

It is an amenable number.

212022001232 is a deficient number, since it is larger than the sum of its proper divisors (208720850752).

212022001232 is a wasteful number, since it uses less digits than its factorization.

212022001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 212022001232 its reverse (232100220212), we get a palindrome (444122221444).

The spelling of 212022001232 in words is "two hundred twelve billion, twenty-two million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 61 122 181 244 362 488 601 724 976 1202 1448 1997 2404 2896 3994 4808 7988 9616 11041 15976 22082 31952 36661 44164 73322 88328 108781 121817 146644 176656 217562 243634 293288 361457 435124 487268 586576 722914 870248 974536 1200197 1445828 1740496 1949072 2400394 2891656 4800788 5783312 6635641 9601576 13271282 19203152 22048877 26542564 44097754 53085128 73212017 88195508 106170256 146424034 176391016 217235657 292848068 352782032 434471314 585696136 868942628 1171392272 1737885256 3475770512 13251375077 26502750154 53005500308 106011000616 212022001232