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228744444006 = 232134091238949
BaseRepresentation
bin1101010100001000111…
…0110011100001100110
3210212102121000201211200
43111002032303201212
512221432034202011
6253030031143330
722345333456521
oct3250216634146
9725377021750
10228744444006
1189012303451
12383ba074b46
131875553a820
14b0dd897bb8
155e3bc3b856
hex35423b3866

228744444006 has 48 divisors (see below), whose sum is σ = 533869736400. Its totient is φ = 70365407040.

The previous prime is 228744443971. The next prime is 228744444041. The reversal of 228744444006 is 600444447822.

228744444006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228744443971) and next prime (228744444041).

It is a super-2 number, since 2×2287444440062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837820 + ... + 1076768.

It is an arithmetic number, because the mean of its divisors is an integer number (11122286175).

Almost surely, 2228744444006 is an apocalyptic number.

228744444006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

228744444006 is an abundant number, since it is smaller than the sum of its proper divisors (305125292394).

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

228744444006 is a wasteful number, since it uses less digits than its factorization.

228744444006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243061 (or 243058 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 228744444006 in words is "two hundred twenty-eight billion, seven hundred forty-four million, four hundred forty-four thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4091 8182 12273 24546 36819 53183 73638 106366 159549 238949 319098 477898 478647 716847 957294 1433694 2150541 3106337 4301082 6212674 9319011 18638022 27957033 55914066 977540359 1955080718 2932621077 5865242154 8797863231 12708024667 17595726462 25416049334 38124074001 76248148002 114372222003 228744444006