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2215434004 = 2272910326489
BaseRepresentation
bin1000010000001100…
…1101011100010100
312201101201201010021
42010003031130110
514014122342004
61003500234524
7105620610160
oct20403153424
95641651107
102215434004
11a376113a3
12519b3ba44
13293ca66c4
14170337ca0
15ce769d54
hex840cd714

2215434004 has 48 divisors (see below), whose sum is σ = 4628332800. Its totient is φ = 907796736.

The previous prime is 2215433989. The next prime is 2215434007. The reversal of 2215434004 is 4004345122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2215434004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215434007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70392 + ... + 96880.

It is an arithmetic number, because the mean of its divisors is an integer number (96423600).

Almost surely, 22215434004 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 2215434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314166400).

2215434004 is an abundant number, since it is smaller than the sum of its proper divisors (2412898796).

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

2215434004 is a wasteful number, since it uses less digits than its factorization.

2215434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26632 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2215434004 is about 47068.3970833934. The cubic root of 2215434004 is about 1303.6257763204.

Adding to 2215434004 its reverse (4004345122), we get a palindrome (6219779126).

The spelling of 2215434004 in words is "two billion, two hundred fifteen million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 29 58 103 116 203 206 406 412 721 812 1442 2884 2987 5974 11948 20909 26489 41818 52978 83636 105956 185423 370846 741692 768181 1536362 2728367 3072724 5377267 5456734 10754534 10913468 19098569 21509068 38197138 76394276 79122643 158245286 316490572 553858501 1107717002 2215434004