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22444466904 = 2334793371301
BaseRepresentation
bin10100111001110010…
…110110001011011000
32010221012020001110000
4110321302312023120
5331431240420104
614151050453000
71423123551366
oct247162661330
963835201400
1022444466904
119578353202
124424734160
132168c62362
14112cbdc636
158b5677639
hex539cb62d8

22444466904 has 160 divisors (see below), whose sum is σ = 63899035200. Its totient is φ = 7359206400.

The previous prime is 22444466897. The next prime is 22444466909. The reversal of 22444466904 is 40966444422.

It is a self number, because there is not a number n which added to its sum of digits gives 22444466904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444466909) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17251054 + ... + 17252354.

It is an arithmetic number, because the mean of its divisors is an integer number (399368970).

Almost surely, 222444466904 is an apocalyptic number.

22444466904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22444466904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31949517600).

22444466904 is an abundant number, since it is smaller than the sum of its proper divisors (41454568296).

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

22444466904 is a wasteful number, since it uses less digits than its factorization.

22444466904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 22444466904 in words is "twenty-two billion, four hundred forty-four million, four hundred sixty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 337 474 632 648 674 711 948 1011 1301 1348 1422 1896 2022 2133 2602 2696 2844 3033 3903 4044 4266 5204 5688 6066 6399 7806 8088 8532 9099 10408 11709 12132 12798 15612 17064 18198 23418 24264 25596 26623 27297 31224 35127 36396 46836 51192 53246 54594 70254 72792 79869 93672 102779 105381 106492 109188 140508 159738 205558 210762 212984 218376 239607 281016 308337 319476 411116 421524 438437 479214 616674 638952 718821 822232 843048 876874 925011 958428 1233348 1315311 1437642 1753748 1850022 1916856 2156463 2466696 2630622 2775033 2875284 3507496 3700044 3945933 4312926 5261244 5550066 5750568 7400088 7891866 8325099 8625852 10522488 11100132 11837799 15783732 16650198 17251704 22200264 23675598 31567464 33300396 34636523 35513397 47351196 66600792 69273046 71026794 94702392 103909569 138546092 142053588 207819138 277092184 284107176 311728707 415638276 623457414 831276552 935186121 1246914828 1870372242 2493829656 2805558363 3740744484 5611116726 7481488968 11222233452 22444466904