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20151224240 = 2457122329423
BaseRepresentation
bin10010110001000110…
…110100011110110000
31221000101002020220112
4102301012310132300
5312232203133430
613131330400452
71312236402620
oct226106643660
957011066815
1020151224240
118600928034
123aa4730128
131b91b14b34
14d9240c880
157ce18d195
hex4b11b47b0

20151224240 has 80 divisors (see below), whose sum is σ = 53590284288. Its totient is φ = 6903107328.

The previous prime is 20151224201. The next prime is 20151224243. The reversal of 20151224240 is 4242215102.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20151224243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670169 + ... + 699591.

Almost surely, 220151224240 is an apocalyptic number.

20151224240 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 20151224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26795142144).

20151224240 is an abundant number, since it is smaller than the sum of its proper divisors (33439060048).

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

20151224240 is a wasteful number, since it uses less digits than its factorization.

20151224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666 (or 30660 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 20151224240 its reverse (4242215102), we get a palindrome (24393439342).

The spelling of 20151224240 in words is "twenty billion, one hundred fifty-one million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1223 2446 4892 6115 8561 9784 12230 17122 19568 24460 29423 34244 42805 48920 58846 68488 85610 97840 117692 136976 147115 171220 205961 235384 294230 342440 411922 470768 588460 684880 823844 1029805 1176920 1647688 2059610 2353840 3295376 4119220 8238440 16476880 35984329 71968658 143937316 179921645 251890303 287874632 359843290 503780606 575749264 719686580 1007561212 1259451515 1439373160 2015122424 2518903030 2878746320 4030244848 5037806060 10075612120 20151224240