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2225718404 = 22713172511433
BaseRepresentation
bin1000010010101001…
…1100010010000100
312202010002012122222
42010222130102010
514024240442104
61004504511512
7106104202640
oct20452342204
95663065588
102225718404
11a423a61a8
1252147b598
13296167850
14171853c20
15d05ec1be
hex84a9c484

2225718404 has 96 divisors (see below), whose sum is σ = 5099625216. Its totient is φ = 824832000.

The previous prime is 2225718403. The next prime is 2225718409. The reversal of 2225718404 is 4048175222.

It is not an unprimeable number, because it can be changed into a prime (2225718403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552472 + ... + 1553904.

It is an arithmetic number, because the mean of its divisors is an integer number (53121096).

Almost surely, 22225718404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225718404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549812608).

2225718404 is an abundant number, since it is smaller than the sum of its proper divisors (2873906812).

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

2225718404 is a wasteful number, since it uses less digits than its factorization.

2225718404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 2225718404 is about 47177.5201128673. The cubic root of 2225718404 is about 1305.6398762543.

The spelling of 2225718404 in words is "two billion, two hundred twenty-five million, seven hundred eighteen thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 251 364 442 476 502 884 1004 1433 1547 1757 2866 3094 3263 3514 4267 5732 6188 6526 7028 8534 10031 13052 17068 18629 20062 22841 24361 29869 37258 40124 45682 48722 55471 59738 74516 91364 97444 110942 119476 130403 170527 221884 260806 316693 341054 359683 388297 521612 633386 682108 719366 776594 1266772 1438732 1553188 2216851 2517781 4433702 4675879 5035562 6114611 8867404 9351758 10071124 12229222 18703516 24458444 32731153 42802277 65462306 79489943 85604554 130924612 158979886 171209108 317959772 556429601 1112859202 2225718404