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20123224440 = 23351125379331
BaseRepresentation
bin10010101111011100…
…000000100101111000
31220221102101201101220
4102233130000211320
5312203021140230
613124450312040
71311446404554
oct225734004570
956842351356
1020123224440
118597043400
123a97288620
131b890903c7
14d8c800864
157cb9abd10
hex4af700978

20123224440 has 384 divisors, whose sum is σ = 68671411200. Its totient is φ = 4711449600.

The previous prime is 20123224399. The next prime is 20123224483. The reversal of 20123224440 is 4442232102.

It is a super-2 number, since 2×201232244402 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20123224440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60795075 + ... + 60795405.

It is an arithmetic number, because the mean of its divisors is an integer number (178831800).

Almost surely, 220123224440 is an apocalyptic number.

20123224440 is a gapful number since it is divisible by the number (20) 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 20123224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34335705600).

20123224440 is an abundant number, since it is smaller than the sum of its proper divisors (48548186760).

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

20123224440 is a wasteful number, since it uses less digits than its factorization.

20123224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20123224440 its reverse (4442232102), we get a palindrome (24565456542).

The spelling of 20123224440 in words is "twenty billion, one hundred twenty-three million, two hundred twenty-four thousand, four hundred forty".