Search a number
-
+
2224852392 = 2337293114731
BaseRepresentation
bin1000010010011100…
…1000110110101000
312202001110012201110
42010213020312220
514024030234032
61004434150320
7106063635060
oct20447106650
95661405643
102224852392
11a41964594
125211223a0
13295c23609
141716aa3a0
15d04ca7cc
hex849c8da8

2224852392 has 128 divisors (see below), whose sum is σ = 6788505600. Its totient is φ = 593913600.

The previous prime is 2224852381. The next prime is 2224852403. The reversal of 2224852392 is 2932584222.

It is an interprime number because it is at equal distance from previous prime (2224852381) and next prime (2224852403).

It is a self number, because there is not a number n which added to its sum of digits gives 2224852392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143667 + ... + 158397.

It is an arithmetic number, because the mean of its divisors is an integer number (53035200).

Almost surely, 22224852392 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 2224852392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394252800).

2224852392 is an abundant number, since it is smaller than the sum of its proper divisors (4563653208).

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

2224852392 is a wasteful number, since it uses less digits than its factorization.

2224852392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807 (or 14803 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 2224852392 is about 47168.3409926616. The cubic root of 2224852392 is about 1305.4705157339.

The spelling of 2224852392 in words is "two billion, two hundred twenty-four million, eight hundred fifty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 1218 1302 1624 1736 1798 2436 2604 2697 3596 4872 5208 5394 6293 7192 10788 12586 14731 18879 21576 25172 29462 37758 44193 50344 58924 75516 88386 103117 117848 151032 176772 206234 309351 353544 412468 427199 456661 618702 824936 854398 913322 1237404 1281597 1369983 1708796 1826644 2474808 2563194 2739966 2990393 3196627 3417592 3653288 5126388 5479932 5980786 6393254 8971179 9589881 10252776 10959864 11961572 12786508 13243169 17942358 19179762 23923144 25573016 26486338 35884716 38359524 39729507 52972676 71769432 76719048 79459014 92702183 105945352 158918028 185404366 278106549 317836056 370808732 556213098 741617464 1112426196 2224852392