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2220101132240 = 24527751264153
BaseRepresentation
bin100000010011101000010…
…101101101111111010000
321212020110122221212001202
4200103220111231333100
5242333231342212430
64415522252050332
7316253114155115
oct40235025557720
97766418855052
102220101132240
117865a3236172
122ba32b4639a8
1313147c1aa124
147964c46090c
153cb3aee7d45
hex204e856dfd0

2220101132240 has 20 divisors (see below), whose sum is σ = 5161735132644. Its totient is φ = 888040452864.

The previous prime is 2220101132239. The next prime is 2220101132243. The reversal of 2220101132240 is 422311010222.

It can be written as a sum of positive squares in 2 ways, for example, as 1748879292304 + 471221839936 = 1322452^2 + 686456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220101132243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13875631997 + ... + 13875632156.

Almost surely, 22220101132240 is an apocalyptic number.

2220101132240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220101132240 is an abundant number, since it is smaller than the sum of its proper divisors (2941634000404).

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

2220101132240 is a wasteful number, since it uses less digits than its factorization.

2220101132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27751264166 (or 27751264160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2220101132240 its reverse (422311010222), we get a palindrome (2642412142462).

The spelling of 2220101132240 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27751264153 55502528306 111005056612 138756320765 222010113224 277512641530 444020226448 555025283060 1110050566120 2220101132240