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2220020332032 = 29317312127241
BaseRepresentation
bin100000010011100011100…
…001011111011000000000
321212020021000220210000110
4200103203201133120000
5242333100201111112
64415510244151320
7316251113320026
oct40234341373000
97766230823013
102220020332032
11786561668838
122ba308398540
13131468529759
147964182a716
153cb33d8713c
hex204e385f600

2220020332032 has 160 divisors (see below), whose sum is σ = 6264407739744. Its totient is φ = 696228249600.

The previous prime is 2220020331943. The next prime is 2220020332039. The reversal of 2220020332032 is 2302330200222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220020332039) 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, 81481932 + ... + 81509172.

Almost surely, 22220020332032 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 2220020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132203869872).

2220020332032 is an abundant number, since it is smaller than the sum of its proper divisors (4044387407712).

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

2220020332032 is a wasteful number, since it uses less digits than its factorization.

2220020332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30400 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 2220020332032 its reverse (2302330200222), we get a palindrome (4522350532254).

The spelling of 2220020332032 in words is "two trillion, two hundred twenty billion, twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3121 3264 4352 6242 6528 8704 9363 12484 13056 18726 24968 26112 27241 37452 49936 53057 54482 74904 81723 99872 106114 108964 149808 159171 163446 199744 212228 217928 299616 318342 326892 399488 424456 435856 463097 599232 636684 653784 798976 848912 871712 926194 1198464 1273368 1307568 1389291 1597952 1697824 1743424 1852388 2396928 2546736 2615136 2778582 3395648 3486848 3704776 4793856 5093472 5230272 5557164 6791296 6973696 7409552 10186944 10460544 11114328 13582592 13947392 14819104 20373888 20921088 22228656 27165184 29638208 40747776 41842176 44457312 59276416 81495552 85019161 88914624 118552832 170038322 177829248 237105664 255057483 340076644 355658496 510114966 680153288 711316992 1020229932 1360306576 1445325737 2040459864 2720613152 2890651474 4080919728 4335977211 5441226304 5781302948 8161839456 8671954422 10882452608 11562605896 16323678912 17343908844 21764905216 23125211792 32647357824 34687817688 43529810432 46250423584 65294715648 69375635376 92500847168 130589431296 138751270752 185001694336 277502541504 370003388672 555005083008 740006777344 1110010166016 2220020332032