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212296147712 = 2811317237821
BaseRepresentation
bin1100010110110111010…
…1100010001100000000
3202021222021122201010122
43011231311202030000
511434240303211322
6241305535115412
721223616324105
oct3055565421400
9667867581118
10212296147712
1182041705a50
1235189672b68
131703393321c
14a3bd18caac
1557c7be2442
hex316dd62300

212296147712 has 72 divisors (see below), whose sum is σ = 463747192272. Its totient is φ = 96193433600.

The previous prime is 212296147709. The next prime is 212296147717. The reversal of 212296147712 is 217741692212.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (212296147717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773762 + ... + 1011582.

It is an arithmetic number, because the mean of its divisors is an integer number (6440933226).

Almost surely, 2212296147712 is an apocalyptic number.

212296147712 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 212296147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231873596136).

212296147712 is an abundant number, since it is smaller than the sum of its proper divisors (251451044560).

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

212296147712 is a wasteful number, since it uses less digits than its factorization.

212296147712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238165 (or 238151 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The spelling of 212296147712 in words is "two hundred twelve billion, two hundred ninety-six million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 317 352 634 704 1268 1408 2536 2816 3487 5072 6974 10144 13948 20288 27896 40576 55792 81152 111584 223168 237821 446336 475642 892672 951284 1902568 2616031 3805136 5232062 7610272 10464124 15220544 20928248 30441088 41856496 60882176 75389257 83712992 150778514 167425984 301557028 334851968 603114056 669703936 829281827 1206228112 1658563654 2412456224 3317127308 4824912448 6634254616 9649824896 13268509232 19299649792 26537018464 53074036928 106148073856 212296147712