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220514321312 = 251011091494201
BaseRepresentation
bin1100110101011110101…
…1011000001110100000
3210002012000121011221122
43031113223120032200
512103103131240222
6245145231111412
721634356542645
oct3152753301640
9702160534848
10220514321312
118557964945a
12368a1972568
1317a4342463c
14a95c809dcc
155b09436a42
hex3357ad83a0

220514321312 has 96 divisors (see below), whose sum is σ = 445533858000. Its totient is φ = 107412480000.

The previous prime is 220514321273. The next prime is 220514321359. The reversal of 220514321312 is 213123415022.

220514321312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 89183460496 + 131330860816 = 298636^2 + 362396^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52488812 + ... + 52493012.

Almost surely, 2220514321312 is an apocalyptic number.

It is an amenable number.

220514321312 is an abundant number, since it is smaller than the sum of its proper divisors (225019536688).

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

220514321312 is a wasteful number, since it uses less digits than its factorization.

220514321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 220514321312 its reverse (213123415022), we get a palindrome (433637736334).

The spelling of 220514321312 in words is "two hundred twenty billion, five hundred fourteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 101 109 149 202 218 298 404 436 596 808 872 1192 1616 1744 2384 3232 3488 4201 4768 8402 11009 15049 16241 16804 22018 30098 32482 33608 44036 60196 64964 67216 88072 120392 129928 134432 176144 240784 259856 352288 424301 457909 481568 519712 625949 848602 915818 1251898 1640341 1697204 1831636 2503796 3280682 3394408 3663272 5007592 6561364 6788816 7326544 10015184 13122728 13577632 14653088 20030368 26245456 46248809 52490912 63220849 68228441 92497618 126441698 136456882 184995236 252883396 272913764 369990472 505766792 545827528 739980944 1011533584 1091655056 1479961888 2023067168 2183310112 6891072541 13782145082 27564290164 55128580328 110257160656 220514321312