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22034403020032 = 281352117337333
BaseRepresentation
bin1010000001010010010001…
…10000111100110100000000
32220000110122102122211222221
411000221020300330310000
510342002424133120112
6114510244235140424
74432635022252624
oct500511060746400
986013572584887
1022034403020032
117025813083a87
12257a4b8ba4714
13c3aab218c9a0
14562683c19184
152832732c0e07
hex140a48c3cd00

22034403020032 has 144 divisors (see below), whose sum is σ = 47490794760528. Its totient is φ = 10142964449280.

The previous prime is 22034403019999. The next prime is 22034403020041. The reversal of 22034403020032 is 23002030443022.

It can be written as a sum of positive squares in 8 ways, for example, as 8815768586496 + 13218634433536 = 2969136^2 + 3635744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22034403019979 and 22034403020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004824238 + ... + 3004831570.

It is an arithmetic number, because the mean of its divisors is an integer number (329797185837).

Almost surely, 222034403020032 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 22034403020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745397380264).

22034403020032 is an abundant number, since it is smaller than the sum of its proper divisors (25456391740496).

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

22034403020032 is a wasteful number, since it uses less digits than its factorization.

22034403020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 22034403020032 its reverse (23002030443022), we get a palindrome (45036433463054).

The spelling of 22034403020032 in words is "twenty-two trillion, thirty-four billion, four hundred three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 521 832 1042 1664 1733 2084 3328 3466 4168 6773 6932 7333 8336 13546 13864 14666 16672 22529 27092 27728 29332 33344 45058 54184 55456 58664 66688 90116 95329 108368 110912 117328 133376 180232 190658 216736 221824 234656 360464 381316 433472 443648 469312 720928 762632 866944 902893 938624 1441856 1525264 1733888 1805786 1877248 2883712 3050528 3611572 3820493 5767424 6101056 7223144 7640986 11737609 12202112 12708089 14446288 15281972 23475218 24404224 25416178 28892576 30563944 46950436 49666409 50832356 57785152 61127888 93900872 99332818 101664712 115570304 122255776 165205157 187801744 198665636 203329424 231140608 244511552 330410314 375603488 397331272 406658848 489023104 660820628 751206976 794662544 813317696 978046208 1321641256 1502413952 1589325088 1626635392 2643282512 3004827904 3178650176 3253270784 5286565024 6357300352 6620914369 10573130048 12714600704 13241828738 21146260096 26483657476 42292520192 52967314952 86071886797 105934629904 172143773594 211869259808 344287547188 423738519616 688575094376 847477039232 1377150188752 1694954078464 2754300377504 5508600755008 11017201510016 22034403020032