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202240301004 = 2232710312836073
BaseRepresentation
bin1011110001011001110…
…1100001011111001100
3201100000110210202201200
42330112131201133030
511303142004113004
6232524035305500
720416463123550
oct2742635413714
9640013722650
10202240301004
1178851417535
1233241a4b290
13160c04c1381
149b0784d860
1553d9ea2239
hex2f167617cc

202240301004 has 144 divisors (see below), whose sum is σ = 590479099392. Its totient is φ = 57167928576.

The previous prime is 202240300991. The next prime is 202240301051. The reversal of 202240301004 is 400103042202.

202240301004 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022403010042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33298512 + ... + 33304584.

Almost surely, 2202240301004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202240301004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295239549696).

202240301004 is an abundant number, since it is smaller than the sum of its proper divisors (388238798388).

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

202240301004 is a wasteful number, since it uses less digits than its factorization.

202240301004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202240301004 its reverse (400103042202), we get a palindrome (602343343206).

The spelling of 202240301004 in words is "two hundred two billion, two hundred forty million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1283 1442 1854 2163 2566 2884 3708 3849 4326 5132 6073 6489 7698 8652 8981 11547 12146 12978 15396 17962 18219 23094 24292 25956 26943 35924 36438 42511 46188 53886 54657 72876 80829 85022 107772 109314 127533 132149 161658 170044 218628 255066 264298 323316 382599 396447 510132 528596 625519 765198 792894 925043 1189341 1251038 1530396 1585788 1850086 1876557 2378682 2502076 2775129 3700172 3753114 4378633 4757364 5550258 5629671 7506228 7791659 8325387 8757266 11100516 11259342 13135899 15583318 16650774 17514532 22518684 23374977 26271798 31166636 33301548 39407697 46749954 52543596 54541613 70124931 78815394 93499908 109083226 140249862 157630788 163624839 218166452 280499724 327249678 490874517 654499356 802540877 981749034 1605081754 1963498068 2407622631 3210163508 4815245262 5617786139 7222867893 9630490524 11235572278 14445735786 16853358417 22471144556 28891471572 33706716834 50560075251 67413433668 101120150502 202240301004