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20140434220 = 22537112924107
BaseRepresentation
bin10010110000011101…
…101010001100101100
31220222121210001210011
4102300131222030230
5312221422343340
613130303223004
71312045603054
oct226035521454
956877701704
1020140434220
1185a5828365
123aa0ba7a64
131b8c8077ca
14d90c00564
157cd25b0ea
hex4b076a32c

20140434220 has 48 divisors (see below), whose sum is σ = 43478295840. Its totient is φ = 7831171584.

The previous prime is 20140434217. The next prime is 20140434239. The reversal of 20140434220 is 2243404102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20140434191 and 20140434200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823407 + ... + 847513.

It is an arithmetic number, because the mean of its divisors is an integer number (905797830).

Almost surely, 220140434220 is an apocalyptic number.

20140434220 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 20140434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739147920).

20140434220 is an abundant number, since it is smaller than the sum of its proper divisors (23337861620).

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

20140434220 is a wasteful number, since it uses less digits than its factorization.

20140434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25282 (or 25280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20140434220 its reverse (2243404102), we get a palindrome (22383838322).

The spelling of 20140434220 in words is "twenty billion, one hundred forty million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1129 2258 4516 5645 11290 22580 24107 41773 48214 83546 96428 120535 167092 208865 241070 417730 482140 835460 891959 1783918 3567836 4459795 8919590 17839180 27216803 54433606 108867212 136084015 272168030 544336060 1007021711 2014043422 4028086844 5035108555 10070217110 20140434220