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22942487040 = 293511271573
BaseRepresentation
bin10101010111011110…
…101001001000000000
32012012220100002122020
4111113132221020000
5333441234041130
614312321041440
71441351631214
oct252736511000
965186302566
1022942487040
1198034880a0
124543486280
1322181a3225
141178dda944
158e424de10
hex5577a9200

22942487040 has 160 divisors (see below), whose sum is σ = 80012218176. Its totient is φ = 5561794560.

The previous prime is 22942487021. The next prime is 22942487053. The reversal of 22942487040 is 4078424922.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 22942486983 and 22942487001.

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, 51307 + ... + 220266.

Almost surely, 222942487040 is an apocalyptic number.

22942487040 is a gapful number since it is divisible by the number (20) 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 22942487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40006109088).

22942487040 is an abundant number, since it is smaller than the sum of its proper divisors (57069731136).

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

22942487040 is a wasteful number, since it uses less digits than its factorization.

22942487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271610 (or 271594 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 22942487040 in words is "twenty-two billion, nine hundred forty-two million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 271573 543146 814719 1086292 1357865 1629438 2172584 2715730 2987303 3258876 4073595 4345168 5431460 5974606 6517752 8147190 8690336 8961909 10862920 11949212 13035504 14936515 16294380 17380672 17923818 21725840 23898424 26071008 29873030 32588760 34761344 35847636 43451680 44809545 47796848 52142016 59746060 65177520 69522688 71695272 86903360 89619090 95593696 104284032 119492120 130355040 139045376 143390544 173806720 179238180 191187392 208568064 238984240 260710080 286781088 347613440 358476360 382374784 417136128 477968480 521420160 573562176 695226880 716952720 764749568 955936960 1042840320 1147124352 1433905440 1529499136 1911873920 2085680640 2294248704 2867810880 3823747840 4588497408 5735621760 7647495680 11471243520 22942487040