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2224060642404 = 2232173798218541
BaseRepresentation
bin100000010111010100010…
…110000011010001100100
321212121200121110210220100
4200113110112003101210
5242414334011024104
64421415214104100
7316453203353406
oct40272426032144
97777617423810
102224060642404
11788245284817
122bb0554ab030
131319605c3053
1479906274b76
153ccbd921139
hex205d4583464

2224060642404 has 72 divisors (see below), whose sum is σ = 6113514928248. Its totient is φ = 678886548480.

The previous prime is 2224060642337. The next prime is 2224060642411. The reversal of 2224060642404 is 4042460604222.

2224060642404 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 0 + 6 + 0 + 642 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 762495704100 + 1461564938304 = 873210^2 + 1208952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49086627 + ... + 49131914.

It is an arithmetic number, because the mean of its divisors is an integer number (84909929559).

Almost surely, 22224060642404 is an apocalyptic number.

It is an amenable number.

2224060642404 is an abundant number, since it is smaller than the sum of its proper divisors (3889454285844).

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

2224060642404 is a wasteful number, since it uses less digits than its factorization.

2224060642404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98218605 (or 98218600 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2224060642404 in words is "two trillion, two hundred twenty-four billion, sixty million, six hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 98218541 196437082 294655623 392874164 589311246 883966869 1178622492 1669715197 1767933738 3339430394 3535867476 3634086017 5009145591 6678860788 7268172034 10018291182 10902258051 14536344068 15027436773 20036582364 21804516102 30054873546 32706774153 43609032204 60109747092 61779462289 65413548306 123558924578 130827096612 185338386867 247117849156 370676773734 556015160601 741353547468 1112030321202 2224060642404