Search a number
-
+
2224040200040 = 235174034381071
BaseRepresentation
bin100000010111010011001…
…000000100011101101000
321212121122012000020020202
4200113103020010131220
5242414313242400130
64421413204011332
7316452534532601
oct40272310043550
97777565006222
102224040200040
117882347920aa
122bb04a690b48
131319592b6489
1479903672da8
153ccbbc34145
hex205d3204768

2224040200040 has 64 divisors (see below), whose sum is σ = 5298645404160. Its totient is φ = 837254640640.

The previous prime is 2224040200037. The next prime is 2224040200043. The reversal of 2224040200040 is 400020404222.

It is an interprime number because it is at equal distance from previous prime (2224040200037) and next prime (2224040200043).

It is a super-2 number, since 2×22240402000402 (a number of 25 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 = 2224040199985 and 2224040200021.

It is not an unprimeable number, because it can be changed into a prime (2224040200043) 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, 27392705 + ... + 27473775.

It is an arithmetic number, because the mean of its divisors is an integer number (82791334440).

Almost surely, 22224040200040 is an apocalyptic number.

2224040200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224040200040 is an abundant number, since it is smaller than the sum of its proper divisors (3074605204120).

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

2224040200040 is a wasteful number, since it uses less digits than its factorization.

2224040200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121442 (or 121438 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2224040200040 its reverse (400020404222), we get a palindrome (2624060604262).

The spelling of 2224040200040 in words is "two trillion, two hundred twenty-four billion, forty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 40343 80686 81071 161372 162142 201715 322744 324284 403430 405355 648568 685831 806860 810710 1371662 1378207 1613720 1621420 2743324 2756414 3242840 3429155 5486648 5512828 6858310 6891035 11025656 13716620 13782070 27433240 27564140 55128280 3270647353 6541294706 13082589412 16353236765 26165178824 32706473530 55601005001 65412947060 111202010002 130825894120 222404020004 278005025005 444808040008 556010050010 1112020100020 2224040200040