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21022414400220 = 22354677477100343
BaseRepresentation
bin1001100011110101010011…
…00010101110101011011100
32202102201112012112102211220
410301322221202232223130
510223412401041301340
6112413321443013340
74266551012025342
oct461725142565334
982381465472756
1021022414400220
11677561296a632
12243635006a250
13b9653621548c
145296c14b7992
15266c942d5ed0
hex131ea98aeadc

21022414400220 has 96 divisors (see below), whose sum is σ = 58997282093568. Its totient is φ = 5593169041152.

The previous prime is 21022414400191. The next prime is 21022414400227. The reversal of 21022414400220 is 2200441422012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022414400227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209455369 + ... + 209555711.

It is an arithmetic number, because the mean of its divisors is an integer number (614555021808).

Almost surely, 221022414400220 is an apocalyptic number.

21022414400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022414400220 is an abundant number, since it is smaller than the sum of its proper divisors (37974867693348).

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

21022414400220 is a wasteful number, since it uses less digits than its factorization.

21022414400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108299 (or 108297 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21022414400220 its reverse (2200441422012), we get a palindrome (23222855822232).

The spelling of 21022414400220 in words is "twenty-one trillion, twenty-two billion, four hundred fourteen million, four hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 467 934 1401 1868 2335 2802 4670 5604 7005 7477 9340 14010 14954 22431 28020 29908 37385 44862 74770 89724 100343 112155 149540 200686 224310 301029 401372 448620 501715 602058 1003430 1204116 1505145 2006860 3010290 3491759 6020580 6983518 10475277 13967036 17458795 20950554 34917590 41901108 46860181 52376385 69835180 93720362 104752770 140580543 187440724 209505540 234300905 281161086 468601810 562322172 702902715 750264611 937203620 1405805430 1500529222 2250793833 2811610860 3001058444 3751323055 4501587666 7502646110 9003175332 11253969165 15005292220 22507938330 45015876660 350373573337 700747146674 1051120720011 1401494293348 1751867866685 2102241440022 3503735733370 4204482880044 5255603600055 7007471466740 10511207200110 21022414400220