Search a number
-
+
22423241440002 = 23132814497193169
BaseRepresentation
bin1010001100100110100010…
…10101110011101100000010
32221101122022020202012121210
411012103101111303230002
510414340244302040002
6115405032300030550
74503011553301164
oct506232125635402
987348266665553
1022423241440002
117165709247077
122621936232456
13c6866c27b9b0
1457740d88a934
1528d42ed5e96c
hex1464d1573b02

22423241440002 has 128 divisors (see below), whose sum is σ = 48658942080000. Its totient is φ = 6847892029440.

The previous prime is 22423241439997. The next prime is 22423241440043. The reversal of 22423241440002 is 20004414232422.

It is a happy number.

It is a super-3 number, since 3×224232414400023 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7075808274 + ... + 7075811442.

It is an arithmetic number, because the mean of its divisors is an integer number (380147985000).

Almost surely, 222423241440002 is an apocalyptic number.

22423241440002 is an abundant number, since it is smaller than the sum of its proper divisors (26235700639998).

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

22423241440002 is a wasteful number, since it uses less digits than its factorization.

22423241440002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22423241440002 its reverse (20004414232422), we get a palindrome (42427655672424).

The spelling of 22423241440002 in words is "twenty-two trillion, four hundred twenty-three billion, two hundred forty-one million, four hundred forty thousand, two".

Divisors: 1 2 3 6 13 26 39 78 281 449 562 719 843 898 1347 1438 1686 2157 2694 3169 3653 4314 5837 6338 7306 9347 9507 10959 11674 17511 18694 19014 21918 28041 35022 41197 56082 82394 123591 126169 202039 247182 252338 322831 378507 404078 606117 645662 757014 890489 968493 1212234 1422881 1640197 1780978 1936986 2278511 2626507 2671467 2845762 3280394 4196803 4268643 4557022 4920591 5253014 5342934 6835533 7879521 8393606 8537286 9841182 11576357 12590409 13671066 15759042 18497453 23152714 25180818 29620643 34729071 36994906 55492359 59241286 69458142 88861929 90715511 110984718 177723858 181431022 272146533 399829561 544293066 640261591 799659122 1023051439 1179301643 1199488683 1280523182 1920784773 2046102878 2358603286 2398977366 3069154317 3537904929 3841569546 5197784293 6138308634 7075809858 8323400683 10395568586 13299668707 15593352879 16646801366 24970202049 26599337414 31186705758 39899006121 49940404098 79798012242 287477454359 574954908718 862432363077 1724864726154 3737206906667 7474413813334 11211620720001 22423241440002