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2219489496 = 233272631997
BaseRepresentation
bin1000010001001010…
…1011100011011000
312201200100202012200
42010102223203120
514021142130441
61004123210200
7106000230600
oct20422534330
95650322180
102219489496
11a39931344
1251b376960
13294a965c3
14170ab1c00
15cecbb7b6
hex844ab8d8

2219489496 has 144 divisors (see below), whose sum is σ = 7010630640. Its totient is φ = 632499840.

The previous prime is 2219489491. The next prime is 2219489497. The reversal of 2219489496 is 6949849122.

It is a super-2 number, since 2×22194894962 = 9852267245708668032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219489491) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2225670 + ... + 2226666.

It is an arithmetic number, because the mean of its divisors is an integer number (48684935).

Almost surely, 22219489496 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 2219489496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505315320).

2219489496 is an abundant number, since it is smaller than the sum of its proper divisors (4791141144).

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

2219489496 is a wasteful number, since it uses less digits than its factorization.

2219489496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1640 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2219489496 is about 47111.4582240881. The cubic root of 2219489496 is about 1304.4207479011.

The spelling of 2219489496 in words is "two billion, two hundred nineteen million, four hundred eighty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 631 882 997 1176 1262 1764 1893 1994 2524 2991 3528 3786 3988 4417 5048 5679 5982 6979 7572 7976 8834 8973 11358 11964 13251 13958 15144 17668 17946 20937 22716 23928 26502 27916 30919 35336 35892 39753 41874 45432 48853 53004 55832 61838 62811 71784 79506 83748 92757 97706 106008 123676 125622 146559 159012 167496 185514 195412 247352 251244 278271 293118 318024 371028 390824 439677 502488 556542 586236 629107 742056 879354 1113084 1172472 1258214 1758708 1887321 2226168 2516428 3517416 3774642 4403749 5032856 5661963 7549284 8807498 11323926 13211247 15098568 17614996 22647852 26422494 30826243 35229992 39633741 45295704 52844988 61652486 79267482 92478729 105689976 123304972 158534964 184957458 246609944 277436187 317069928 369914916 554872374 739829832 1109744748 2219489496