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13341202224 = 2437291797649
BaseRepresentation
bin11000110110011001…
…01001011100110000
31021102202211021220220
430123030221130300
5204310321432344
610043500133040
7651415230210
oct143314513460
937382737826
1013341202224
115726840769
122703b37180
131347c975cc
14907bc6240
1553139dc19
hex31b329730

13341202224 has 160 divisors (see below), whose sum is σ = 40979520000. Its totient is φ = 3659292672.

The previous prime is 13341202177. The next prime is 13341202267. The reversal of 13341202224 is 42220214331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13341202194 and 13341202203.

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, 1740352 + ... + 1748000.

It is an arithmetic number, because the mean of its divisors is an integer number (256122000).

Almost surely, 213341202224 is an apocalyptic number.

13341202224 is a gapful number since it is divisible by the number (14) 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 13341202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760000).

13341202224 is an abundant number, since it is smaller than the sum of its proper divisors (27638317776).

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

13341202224 is a wasteful number, since it uses less digits than its factorization.

13341202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13341202224 its reverse (42220214331), we get a palindrome (55561416555).

The spelling of 13341202224 in words is "thirteen billion, three hundred forty-one million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 179 203 232 336 348 358 406 464 537 609 696 716 812 1074 1218 1253 1392 1432 1624 2148 2436 2506 2864 3248 3759 4296 4872 5012 5191 7518 7649 8592 9744 10024 10382 15036 15298 15573 20048 20764 22947 30072 30596 31146 36337 41528 45894 53543 60144 61192 62292 72674 83056 91788 107086 109011 122384 124584 145348 160629 183576 214172 218022 221821 249168 290696 321258 367152 428344 436044 443642 581392 642516 665463 856688 872088 887284 1285032 1330926 1369171 1552747 1744176 1774568 2570064 2661852 2738342 3105494 3549136 4107513 4658241 5323704 5476684 6210988 8215026 9316482 9584197 10647408 10953368 12421976 16430052 18632964 19168394 21906736 24843952 28752591 32860104 37265928 38336788 39705959 57505182 65720208 74531856 76673576 79411918 115010364 119117877 153347152 158823836 230020728 238235754 277941713 317647672 460041456 476471508 555883426 635295344 833825139 952943016 1111766852 1667650278 1905886032 2223533704 3335300556 4447067408 6670601112 13341202224