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22033030020320 = 2551121535814569
BaseRepresentation
bin1010000001001111101101…
…11011010111110011100000
32220000100002202010020110202
411000213312323113303200
510341442121141122240
6114505500111044332
74432556011043204
oct500476673276340
986010082106422
1022033030020320
117025179056a80
12257a1952106a8
13c3a9238a5a17
14562593734b04
152831e29b1315
hex1409f6ed7ce0

22033030020320 has 96 divisors (see below), whose sum is σ = 56811512026080. Its totient is φ = 8008288215040.

The previous prime is 22033030020301. The next prime is 22033030020329. The reversal of 22033030020320 is 2302003033022.

It is a super-2 number, since 2×220330300203202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22033030020292 and 22033030020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033030020329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881996 + ... + 6696564.

It is an arithmetic number, because the mean of its divisors is an integer number (591786583605).

Almost surely, 222033030020320 is an apocalyptic number.

22033030020320 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 22033030020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28405756013040).

22033030020320 is an abundant number, since it is smaller than the sum of its proper divisors (34778482005760).

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

22033030020320 is a wasteful number, since it uses less digits than its factorization.

22033030020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816748 (or 5816740 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 22033030020320 its reverse (2302003033022), we get a palindrome (24335033053342).

The spelling of 22033030020320 in words is "twenty-two trillion, thirty-three billion, thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2153 4306 8612 10765 17224 21530 23683 34448 43060 47366 68896 86120 94732 118415 172240 189464 236830 344480 378928 473660 757856 947320 1894640 3789280 5814569 11629138 23258276 29072845 46516552 58145690 63960259 93033104 116291380 127920518 186066208 232582760 255841036 319801295 465165520 511682072 639602590 930331040 1023364144 1279205180 2046728288 2558410360 5116820720 10233641440 12518767057 25037534114 50075068228 62593835285 100150136456 125187670570 137706437627 200300272912 250375341140 275412875254 400600545824 500750682280 550825750508 688532188135 1001501364560 1101651501016 1377064376270 2003002729120 2203303002032 2754128752540 4406606004064 5508257505080 11016515010160 22033030020320