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212473430092 = 2271113936713523
BaseRepresentation
bin1100010111100001100…
…1110100000001001100
3202022102122020120211201
43011320121310001030
511440121144230332
6241335310555244
721231201233260
oct3057031640114
9668378216751
10212473430092
1182122791910
1235218b08b24
1317061595141
14a3d893a0a0
1557d85605e7
hex317867404c

212473430092 has 96 divisors (see below), whose sum is σ = 468220354560. Its totient is φ = 81956301120.

The previous prime is 212473430089. The next prime is 212473430107. The reversal of 212473430092 is 290034374212.

It is a happy number.

It is a super-2 number, since 2×2124734300922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15705243 + ... + 15718765.

It is an arithmetic number, because the mean of its divisors is an integer number (4877295360).

Almost surely, 2212473430092 is an apocalyptic number.

212473430092 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 212473430092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234110177280).

212473430092 is an abundant number, since it is smaller than the sum of its proper divisors (255746924468).

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

212473430092 is a wasteful number, since it uses less digits than its factorization.

212473430092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 212473430092 in words is "two hundred twelve billion, four hundred seventy-three million, four hundred thirty thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 367 556 734 973 1468 1529 1946 2569 3058 3892 4037 5138 6116 8074 10276 10703 13523 16148 21406 27046 28259 42812 51013 54092 56518 94661 102026 113036 148753 189322 204052 297506 357091 378644 561143 595012 714182 1041271 1122286 1428364 1879697 2082542 2244572 3759394 3928001 4165084 4962941 7518788 7856002 9925882 13157879 15712004 19851764 20676667 26315758 34740587 41353334 52631516 54592351 69481174 82706668 109184702 138962348 144736669 218369404 289473338 382146457 578946676 689848799 764292914 1379697598 1528585828 2759395196 4828941593 7588336789 9657883186 15176673578 19315766372 30353347156 53118357523 106236715046 212473430092