Search a number
-
+
212225051424 = 2537937017561
BaseRepresentation
bin1100010110100110011…
…0010100101100100000
3202021210022212122100210
43011221212110230200
511434114103121144
6241254515214120
721222064113231
oct3055146245440
9667708778323
10212225051424
1182005566291
12351698a7340
1317021c9c709
14a3b3963088
1557c184bab9
hex3169994b20

212225051424 has 96 divisors (see below), whose sum is σ = 564369603840. Its totient is φ = 69818112000.

The previous prime is 212225051411. The next prime is 212225051429. The reversal of 212225051424 is 424150522212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212225051391 and 212225051400.

It is not an unprimeable number, because it can be changed into a prime (212225051429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28064604 + ... + 28072164.

It is an arithmetic number, because the mean of its divisors is an integer number (5878850040).

Almost surely, 2212225051424 is an apocalyptic number.

212225051424 is a gapful number since it is divisible by the number (24) 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 212225051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282184801920).

212225051424 is an abundant number, since it is smaller than the sum of its proper divisors (352144552416).

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

212225051424 is a wasteful number, since it uses less digits than its factorization.

212225051424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 212225051424 its reverse (424150522212), we get a palindrome (636375573636).

The spelling of 212225051424 in words is "two hundred twelve billion, two hundred twenty-five million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3701 3792 7402 7561 7584 11103 14804 15122 22206 22683 29608 30244 44412 45366 59216 60488 88824 90732 118432 120976 177648 181464 241952 292379 355296 362928 584758 597319 725856 877137 1169516 1194638 1754274 1791957 2339032 2389276 3508548 3583914 4678064 4778552 7017096 7167828 9356128 9557104 14034192 14335656 19114208 27983261 28068384 28671312 55966522 57342624 83949783 111933044 167899566 223866088 335799132 447732176 671598264 895464352 1343196528 2210677619 2686393056 4421355238 6632032857 8842710476 13264065714 17685420952 26528131428 35370841904 53056262856 70741683808 106112525712 212225051424