Search a number
-
+
2224409472 = 27331737861
BaseRepresentation
bin1000010010010101…
…1100101110000000
312202000121201011000
42010211130232000
514023422100342
61004420452000
7106060111545
oct20445345600
95660551130
102224409472
11a4169183a
12520b4a000
13295ac9b2c
141715d2bcc
15d043e44c
hex8495cb80

2224409472 has 128 divisors (see below), whose sum is σ = 6951463200. Its totient is φ = 697835520.

The previous prime is 2224409471. The next prime is 2224409483. The reversal of 2224409472 is 2749044222.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224409471) 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, 39822 + ... + 77682.

Almost surely, 22224409472 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 2224409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475731600).

2224409472 is an abundant number, since it is smaller than the sum of its proper divisors (4727053728).

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

2224409472 is a wasteful number, since it uses less digits than its factorization.

2224409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37901 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2224409472 is about 47163.6456606145. The cubic root of 2224409472 is about 1305.3838796680.

The spelling of 2224409472 in words is "two billion, two hundred twenty-four million, four hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 37861 58752 75722 113583 151444 227166 302888 340749 454332 605776 643637 681498 908664 1022247 1211552 1287274 1362996 1817328 1930911 2044494 2423104 2574548 2725992 3634656 3861822 4088988 4846208 5149096 5451984 5792733 7269312 7723644 8177976 10298192 10903968 11585466 14538624 15447288 16355952 17378199 20596384 21807936 23170932 30894576 32711904 34756398 41192768 43615872 46341864 61789152 65423808 69512796 82385536 92683728 123578304 130847616 139025592 185367456 247156608 278051184 370734912 556102368 741469824 1112204736 2224409472