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22345332240 = 24357111209163
BaseRepresentation
bin10100110011111000…
…101011011000010000
32010200021200111020210
4110303320223120100
5331230401112430
614133150004120
71420511122140
oct246370533020
963607614223
1022345332240
1195273a2930
1243b74a6640
1321515626aa
14111d994920
158abae42b0
hex533e2b610

22345332240 has 160 divisors (see below), whose sum is σ = 86363329536. Its totient is φ = 4643182080.

The previous prime is 22345332221. The next prime is 22345332241. The reversal of 22345332240 is 4223354322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22345332198 and 22345332207.

It is not an unprimeable number, because it can be changed into a prime (22345332241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586102 + ... + 623061.

Almost surely, 222345332240 is an apocalyptic number.

22345332240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22345332240 is an abundant number, since it is smaller than the sum of its proper divisors (64017997296).

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

22345332240 is a wasteful number, since it uses less digits than its factorization.

22345332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209197 (or 1209191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 22345332240 its reverse (4223354322), we get a palindrome (26568686562).

The spelling of 22345332240 in words is "twenty-two billion, three hundred forty-five million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 1209163 2418326 3627489 4836652 6045815 7254978 8464141 9673304 12091630 13300793 14509956 16928282 18137445 19346608 24183260 25392423 26601586 29019912 33856564 36274890 39902379 42320705 48366520 50784846 53203172 58039824 66503965 67713128 72549780 79804758 84641410 93105551 96733040 101569692 106406344 126962115 133007930 135426256 145099560 159609516 169282820 186211102 199511895 203139384 212812688 253924230 266015860 279316653 290199120 319219032 338565640 372422204 399023790 406278768 465527755 507848460 532031720 558633306 638438064 677131280 744844408 798047580 931055510 1015696920 1064063440 1117266612 1396583265 1489688816 1596095160 1862111020 2031393840 2234533224 2793166530 3192190320 3724222040 4469066448 5586333060 7448444080 11172666120 22345332240