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2231241534444 = 22313353127731729
BaseRepresentation
bin100000011110000000010…
…110111110101111101100
321220022020001120220220210
4200132000112332233230
5243024040313100234
64425003533342420
7320126150054616
oct40360026765754
97808201526823
102231241534444
1179029a75023a
1230051a337a10
13132536222bb0
1479dc7c3bdb6
153d08e06cbe9
hex207805bebec

2231241534444 has 96 divisors (see below), whose sum is σ = 5627172841920. Its totient is φ = 684033343488.

The previous prime is 2231241534427. The next prime is 2231241534547. The reversal of 2231241534444 is 4444351421322.

2231241534444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312415344443 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70305972 + ... + 70337700.

It is an arithmetic number, because the mean of its divisors is an integer number (58616383770).

Almost surely, 22231241534444 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 2231241534444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813586420960).

2231241534444 is an abundant number, since it is smaller than the sum of its proper divisors (3395931307476).

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

2231241534444 is a wasteful number, since it uses less digits than its factorization.

2231241534444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379 (or 33377 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

Adding to 2231241534444 its reverse (4444351421322), we get a palindrome (6675592955766).

The spelling of 2231241534444 in words is "two trillion, two hundred thirty-one billion, two hundred forty-one million, five hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 706 1059 1277 1412 2118 2554 3831 4236 4589 5108 7662 9178 13767 15324 16601 18356 27534 31729 33202 49803 55068 63458 66404 95187 99606 126916 190374 199212 380748 412477 450781 824954 901562 1237431 1352343 1649908 1803124 2474862 2704686 4949724 5409372 5860153 11200337 11720306 17580459 22400674 23440612 33601011 35160918 40517933 44801348 67202022 70321836 81035866 121553799 134404044 145604381 162071732 243107598 291208762 436813143 486215196 526733129 582417524 873626286 1053466258 1580199387 1747252572 2106932516 3160398774 6320797548 14302830349 28605660698 42908491047 57211321396 85816982094 171633964188 185936794537 371873589074 557810383611 743747178148 1115620767222 2231241534444