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1214392088 = 237213223797
BaseRepresentation
bin100100001100010…
…0010011100011000
310010122002111202202
41020120202130120
54441341021323
6320300345332
742044106500
oct11030423430
93118074682
101214392088
11573546828
1229a845248
13164793200
14b73d8a00
157192ed28
hex48622718

1214392088 has 144 divisors (see below), whose sum is σ = 2996617680. Its totient is φ = 458954496.

The previous prime is 1214392043. The next prime is 1214392117. The reversal of 1214392088 is 8802934121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523306 + ... + 1524102.

It is an arithmetic number, because the mean of its divisors is an integer number (20809845).

Almost surely, 21214392088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214392088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498308840).

1214392088 is an abundant number, since it is smaller than the sum of its proper divisors (1782225592).

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

1214392088 is a wasteful number, since it uses less digits than its factorization.

1214392088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1214392088 is about 34848.1289024246. The cubic root of 1214392088 is about 1066.8899963802.

The spelling of 1214392088 in words is "one billion, two hundred fourteen million, three hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 49 52 56 91 92 98 104 161 169 182 184 196 299 322 338 364 392 598 637 644 676 728 797 1127 1183 1196 1274 1288 1352 1594 2093 2254 2366 2392 2548 3188 3887 4186 4508 4732 5096 5579 6376 7774 8281 8372 9016 9464 10361 11158 14651 15548 16562 16744 18331 20722 22316 27209 29302 31096 33124 36662 39053 41444 44632 54418 58604 66248 72527 73324 78106 82888 108836 117208 128317 134693 145054 146648 156212 190463 217672 238303 256634 269386 290108 312424 380926 476606 507689 513268 538772 580216 761852 898219 942851 953212 1015378 1026536 1077544 1523704 1668121 1796438 1885702 1906424 2030756 3097939 3336242 3592876 3771404 4061512 6195878 6599957 6672484 7185752 7542808 11676847 12391756 13199914 13344968 21685573 23353694 24783512 26399828 43371146 46707388 52799656 86742292 93414776 151799011 173484584 303598022 607196044 1214392088