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13901622224 = 24721014192
BaseRepresentation
bin11001111001001100…
…11110101111010000
31022212211100120122012
430330212132233100
5211432303402344
610215240002052
71001331560600
oct147446365720
938784316565
1013901622224
115994115596
12283b760328
131407115889
1495c3c8c00
1556569e29e
hex33c99ebd0

13901622224 has 90 divisors (see below), whose sum is σ = 31717759554. Its totient is φ = 5884771200.

The previous prime is 13901622197. The next prime is 13901622239. The reversal of 13901622224 is 42222610931.

It can be written as a sum of positive squares in only one way, i.e., 13763982400 + 137639824 = 117320^2 + 11732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33177887 + ... + 33178305.

Almost surely, 213901622224 is an apocalyptic number.

13901622224 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 13901622224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858879777).

13901622224 is an abundant number, since it is smaller than the sum of its proper divisors (17816137330).

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

13901622224 is an equidigital number, since it uses as much as digits as its factorization.

13901622224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 13901622224 in words is "thirteen billion, nine hundred one million, six hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 419 707 784 808 838 1414 1616 1676 2828 2933 3352 4949 5656 5866 6704 9898 11312 11732 19796 20531 23464 39592 41062 42319 46928 79184 82124 84638 164248 169276 175561 296233 328496 338552 351122 592466 677104 702244 1184932 1228927 1404488 2073631 2369864 2457854 2808976 4147262 4739728 4915708 8294524 8602489 9831416 16589048 17204978 17731661 19662832 33178096 34409956 35463322 68819912 70926644 124121627 137639824 141853288 248243254 283706576 496486508 868851389 992973016 1737702778 1985946032 3475405556 6950811112 13901622224