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22541640354450 = 23252767106807109
BaseRepresentation
bin1010010000000011000100…
…11101110100101010010010
32221210221220200012020122100
411020001202131310222102
510423310234412320300
6115535253035421230
74514402601412530
oct510014235645222
987727820166570
1022541640354450
117200946358998
1226408798b4816
13c7688a840159
1457d0422d9150
1529155e49e700
hex148062774a92

22541640354450 has 144 divisors (see below), whose sum is σ = 70246609018560. Its totient is φ = 5075473772160.

The previous prime is 22541640354433. The next prime is 22541640354451. The reversal of 22541640354450 is 5445304614522.

It is a happy number.

22541640354450 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 16 + 40 + 3 + 544 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22541640354396 and 22541640354405.

It is not an unprimeable number, because it can be changed into a prime (22541640354451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53192505 + ... + 53614604.

It is an arithmetic number, because the mean of its divisors is an integer number (487823673740).

Almost surely, 222541640354450 is an apocalyptic number.

22541640354450 is an abundant number, since it is smaller than the sum of its proper divisors (47704968664110).

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

22541640354450 is a wasteful number, since it uses less digits than its factorization.

22541640354450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106807201 (or 106807193 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 22541640354450 its reverse (5445304614522), we get a palindrome (27986944968972).

The spelling of 22541640354450 in words is "twenty-two trillion, five hundred forty-one billion, six hundred forty million, three hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 67 70 75 90 105 126 134 150 175 201 210 225 315 335 350 402 450 469 525 603 630 670 938 1005 1050 1206 1407 1575 1675 2010 2345 2814 3015 3150 3350 4221 4690 5025 6030 7035 8442 10050 11725 14070 15075 21105 23450 30150 35175 42210 70350 105525 211050 106807109 213614218 320421327 534035545 640842654 747649763 961263981 1068071090 1495299526 1602106635 1922527962 2242949289 2670177725 3204213270 3738248815 4485898578 4806319905 5340355450 6728847867 7156076303 7476497630 8010533175 9612639810 11214746445 13457695734 14312152606 16021066350 18691244075 21468228909 22429492890 24031599525 33644239335 35780381515 37382488150 42936457818 48063199050 50092534121 56073732225 64404686727 67288478670 71560763030 100185068242 107341144545 112147464450 128809373454 150277602363 168221196675 178901907575 214682289090 250462670605 300555204726 322023433635 336442393350 357803815150 450832807089 500925341210 536705722725 644046867270 751388011815 901665614178 1073411445450 1252313353025 1502776023630 1610117168175 2254164035445 2504626706050 3220234336350 3756940059075 4508328070890 7513880118150 11270820177225 22541640354450