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2225760263144 = 231153897469279
BaseRepresentation
bin100000011000111001101…
…001100101101111101000
321212210002001121111020122
4200120321221211233220
5242431324111410034
64422300010542412
7316543262036045
oct40307151455750
97783061544218
102225760263144
11788a37708a60
122bb44a737a08
13131b71768ab2
1479a27c9c1cc
153cd6cc4c62e
hex20639a65be8

2225760263144 has 32 divisors (see below), whose sum is σ = 4552785619200. Its totient is φ = 1011688283520.

The previous prime is 2225760263141. The next prime is 2225760263159. The reversal of 2225760263144 is 4413620675222.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2225760263095 and 2225760263104.

It is not an unprimeable number, because it can be changed into a prime (2225760263141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4508297 + ... + 4977575.

It is an arithmetic number, because the mean of its divisors is an integer number (142274550600).

Almost surely, 22225760263144 is an apocalyptic number.

It is an amenable number.

2225760263144 is an abundant number, since it is smaller than the sum of its proper divisors (2327025356056).

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

2225760263144 is a wasteful number, since it uses less digits than its factorization.

2225760263144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523193 (or 523189 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 2225760263144 in words is "two trillion, two hundred twenty-five billion, seven hundred sixty million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 53897 107794 215588 431176 469279 592867 938558 1185734 1877116 2371468 3754232 4742936 5162069 10324138 20648276 41296552 25292730263 50585460526 101170921052 202341842104 278220032893 556440065786 1112880131572 2225760263144