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22125441604860 = 2235511413869091
BaseRepresentation
bin1010000011111011110110…
…00101100101110011111100
32220100011122001211010200000
411001331323011211303330
510400000401022323420
6115020142040034300
74442340032412366
oct501757305456374
986304561733600
1022125441604860
11706038aa82240
122594085762990
13c4656020b7a9
14566c3ca29d36
15285800901690
hex141f7b165cfc

22125441604860 has 144 divisors (see below), whose sum is σ = 75926768141952. Its totient is φ = 5363743406400.

The previous prime is 22125441604859. The next prime is 22125441604933. The reversal of 22125441604860 is 6840614452122.

22125441604860 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 5 + 4 + 4 + 160 + 486 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206881086 + ... + 206988005.

It is an arithmetic number, because the mean of its divisors is an integer number (527269223208).

Almost surely, 222125441604860 is an apocalyptic number.

22125441604860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22125441604860 is an abundant number, since it is smaller than the sum of its proper divisors (53801326537092).

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

22125441604860 is a wasteful number, since it uses less digits than its factorization.

22125441604860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413869126 (or 413869112 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22125441604860 in words is "twenty-two trillion, one hundred twenty-five billion, four hundred forty-one million, six hundred four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 413869091 827738182 1241607273 1655476364 2069345455 2483214546 3724821819 4138690910 4552560001 4966429092 6208036365 7449643638 8277381820 9105120002 11174465457 12416072730 13657680003 14899287276 18210240004 18624109095 22348930914 22762800005 24832145460 27315360006 33523396371 37248218190 40973040009 44697861828 45525600010 54630720012 55872327285 67046792742 68288400015 74496436380 81946080018 91051200020 100570189113 111744654570 122919120027 134093585484 136576800030 163892160036 167616981855 201140378226 204865200045 223489309140 245838240054 273153600060 335233963710 368757360081 402280756452 409730400090 491676480108 502850945565 614595600135 670467927420 737514720162 819460800180 1005701891130 1106272080243 1229191200270 1475029440324 1843786800405 2011403782260 2212544160486 2458382400540 3687573600810 4425088320972 5531360401215 7375147201620 11062720802430 22125441604860