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290230333008 = 243711137573179
BaseRepresentation
bin1000011100100110001…
…00110110111001010000
31000202010122120112002220
410032103010312321100
514223342431124013
6341155135141040
726653115061240
oct4162304667120
91022118515086
10290230333008
111020a4502950
12482b9674780
13214a3a89175
1410093819b20
157839b4cb23
hex4393136e50

290230333008 has 160 divisors (see below), whose sum is σ = 941592591360. Its totient is φ = 74834119680.

The previous prime is 290230332991. The next prime is 290230333021. The reversal of 290230333008 is 800333032092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 290230333008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219763 + ... + 792941.

It is an arithmetic number, because the mean of its divisors is an integer number (5884953696).

Almost surely, 2290230333008 is an apocalyptic number.

290230333008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290230333008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470796295680).

290230333008 is an abundant number, since it is smaller than the sum of its proper divisors (651362258352).

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

290230333008 is a wasteful number, since it uses less digits than its factorization.

290230333008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573345 (or 573339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 290230333008 in words is "two hundred ninety billion, two hundred thirty million, three hundred thirty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 137 154 168 176 231 264 274 308 336 411 462 528 548 616 822 924 959 1096 1232 1507 1644 1848 1918 2192 2877 3014 3288 3696 3836 4521 5754 6028 6576 7672 9042 10549 11508 12056 15344 18084 21098 23016 24112 31647 36168 42196 46032 63294 72336 84392 126588 168784 253176 506352 573179 1146358 1719537 2292716 3439074 4012253 4585432 6304969 6878148 8024506 9170864 12036759 12609938 13756296 16049012 18914907 24073518 25219876 27512592 32098024 37829814 44134783 48147036 50439752 64196048 75659628 78525523 88269566 96294072 100879504 132404349 151319256 157051046 176539132 192588144 235576569 264808698 302638512 314102092 353078264 471153138 529617396 549678661 628204184 706156528 863780753 942306276 1059234792 1099357322 1256408368 1649035983 1727561506 1884612552 2118469584 2198714644 2591342259 3298071966 3455123012 3769225104 4397429288 5182684518 6046465271 6596143932 6910246024 8794858576 10365369036 12092930542 13192287864 13820492048 18139395813 20730738072 24185861084 26384575728 36278791626 41461476144 48371722168 72557583252 96743444336 145115166504 290230333008