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20111222334 = 2371960741519
BaseRepresentation
bin10010101110101110…
…001110011000111110
31220220120210221121110
4102232232032120332
5312141433103314
613123341142450
71311242366160
oct225656163076
956816727543
1020111222334
118590296005
123a9325aa26
131b8674a478
14d8ad98930
157ca8daa59
hex4aeb8e63e

20111222334 has 64 divisors (see below), whose sum is σ = 48468787200. Its totient is φ = 5434540128.

The previous prime is 20111222323. The next prime is 20111222389. The reversal of 20111222334 is 43322211102.

It is a super-2 number, since 2×201112223342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20111222334.

It is a congruent number.

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, 463627 + ... + 505145.

It is an arithmetic number, because the mean of its divisors is an integer number (757324800).

Almost surely, 220111222334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111222334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234393600).

20111222334 is an abundant number, since it is smaller than the sum of its proper divisors (28357564866).

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

20111222334 is a wasteful number, since it uses less digits than its factorization.

20111222334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42157.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20111222334 its reverse (43322211102), we get a palindrome (63433433436).

It can be divided in two parts, 201112 and 22334, that added together give a triangular number (223446 = T668).

The spelling of 20111222334 in words is "twenty billion, one hundred eleven million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 607 798 1214 1821 3642 4249 8498 11533 12747 23066 25494 34599 41519 69198 80731 83038 124557 161462 242193 249114 290633 484386 581266 788861 871899 1577722 1743798 2366583 4733166 5522027 11044054 16566081 25202033 33132162 50404066 75606099 151212198 176414231 352828462 478838627 529242693 957677254 1058485386 1436515881 2873031762 3351870389 6703740778 10055611167 20111222334