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2244224034 = 2321323503829
BaseRepresentation
bin1000010111000100…
…0010010000100010
312210101220101121200
42011301002100202
514044010132114
61010405302030
7106420406133
oct20561022042
95711811550
102244224034
11a51895808
12527704916
13299c46a20
141740adc8a
15d2055409
hex85c42422

2244224034 has 96 divisors (see below), whose sum is σ = 5481665280. Its totient is φ = 658399104.

The previous prime is 2244224029. The next prime is 2244224039. The reversal of 2244224034 is 4304224422.

It is an interprime number because it is at equal distance from previous prime (2244224029) and next prime (2244224039).

It is a junction number, because it is equal to n+sod(n) for n = 2244223989 and 2244224007.

It is not an unprimeable number, because it can be changed into a prime (2244224039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706732 + ... + 2707560.

It is an arithmetic number, because the mean of its divisors is an integer number (57100680).

Almost surely, 22244224034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244224034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740832640).

2244224034 is an abundant number, since it is smaller than the sum of its proper divisors (3237441246).

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

2244224034 is a wasteful number, since it uses less digits than its factorization.

2244224034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2244224034 is about 47373.2417510138. The cubic root of 2244224034 is about 1309.2484537955.

Adding to 2244224034 its reverse (4304224422), we get a palindrome (6548448456).

The spelling of 2244224034 in words is "two billion, two hundred forty-four million, two hundred twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 503 598 829 897 1006 1509 1658 1794 2487 2691 3018 4527 4974 5382 6539 7461 9054 10777 11569 13078 14922 19067 19617 21554 23138 32331 34707 38134 39234 57201 58851 64662 69414 96993 104121 114402 117702 150397 171603 193986 208242 247871 300794 343206 416987 451191 495742 743613 833974 902382 1250961 1353573 1487226 2230839 2501922 2707146 3752883 4461678 5420831 7505766 9590701 10841662 16262493 19181402 28772103 32524986 48787479 57544206 86316309 97574958 124679113 172632618 249358226 374037339 748074678 1122112017 2244224034