Search a number
-
+
229144027350016 = 210107244212
BaseRepresentation
bin110100000110011111000000…
…010110100100010000000000
31010001022221210020202211221101
4310012133000112210100000
5220013243432000200031
62131203151332104144
766160052416361362
oct6406370026442000
91101287706684841
10229144027350016
1167015488737299
1221849793165054
139ab225c4a0a1c
1440828b6dc8d32
151b75866b9c361
hexd067c05a4400

229144027350016 has 99 divisors (see below), whose sum is σ = 462489876980677. Its totient is φ = 113475573985280.

The previous prime is 229144027349989. The next prime is 229144027350041. The reversal of 229144027350016 is 610053720441922.

The square root of 229144027350016 is 15137504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 190310191727616 + 38833835622400 = 13795296^2 + 6231680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51830811486 + ... + 51830815906.

Almost surely, 2229144027350016 is an apocalyptic number.

229144027350016 is the 15137504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229144027350016

229144027350016 is an abundant number, since it is smaller than the sum of its proper divisors (233345849630661).

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

229144027350016 is an frugal number, since it uses more digits than its factorization.

229144027350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

Adding to 229144027350016 its reverse (610053720441922), we get a palindrome (839197747791938).

The spelling of 229144027350016 in words is "two hundred twenty-nine trillion, one hundred forty-four billion, twenty-seven million, three hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1024 1712 3424 4421 6848 8842 11449 13696 17684 22898 27392 35368 45796 54784 70736 91592 109568 141472 183184 282944 366368 473047 565888 732736 946094 1131776 1465472 1892188 2263552 2930944 3784376 4527104 5861888 7568752 11723776 15137504 19545241 30275008 39090482 50616029 60550016 78180964 101232058 121100032 156361928 202464116 242200064 312723856 404928232 484400128 625447712 809856464 1250895424 1619712928 2091340787 2501790848 3239425856 4182681574 5003581696 6478851712 8365363148 10007163392 12957703424 16730726296 20014326784 25915406848 33461452592 51830813696 66922905184 133845810368 223773464209 267691620736 447546928418 535383241472 895093856836 1070766482944 1790187713672 2141532965888 3580375427344 7160750854688 14321501709376 28643003418752 57286006837504 114572013675008 229144027350016