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2191366144 = 21111237239
BaseRepresentation
bin1000001010011101…
…1001100000000000
312122201102221020001
42002213121200000
513441442204034
61001240325344
7105206206402
oct20247314000
95581387201
102191366144
11a24a72900
12511a73854
1328bcca876
1416b070b72
15cc5b3a14
hex829d9800

2191366144 has 144 divisors (see below), whose sum is σ = 4967071200. Its totient is φ = 965099520.

The previous prime is 2191366127. The next prime is 2191366153. The reversal of 2191366144 is 4416631912.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9168777 + ... + 9169015.

It is an arithmetic number, because the mean of its divisors is an integer number (34493550).

Almost surely, 22191366144 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 2191366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483535600).

2191366144 is an abundant number, since it is smaller than the sum of its proper divisors (2775705056).

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

2191366144 is a wasteful number, since it uses less digits than its factorization.

2191366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 289 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 2191366144 is about 46812.0299068519. The cubic root of 2191366144 is about 1298.8878345995.

The spelling of 2191366144 in words is "two billion, one hundred ninety-one million, three hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 239 242 256 296 352 407 478 484 512 592 704 814 956 968 1024 1184 1408 1628 1912 1936 2048 2368 2629 2816 3256 3824 3872 4477 4736 5258 5632 6512 7648 7744 8843 8954 9472 10516 11264 13024 15296 15488 17686 17908 18944 21032 22528 26048 28919 30592 30976 35372 35816 37888 42064 52096 57838 61184 61952 70744 71632 75776 84128 97273 104192 115676 122368 123904 141488 143264 168256 194546 208384 231352 244736 247808 282976 286528 336512 389092 416768 462704 489472 565952 573056 673024 778184 833536 925408 1070003 1131904 1146112 1346048 1556368 1850816 2140006 2263808 2292224 2692096 3112736 3701632 4280012 4527616 4584448 5384192 6225472 7403264 8560024 9055232 9168896 12450944 14806528 17120048 18110464 24901888 29613056 34240096 49803776 59226112 68480192 99607552 136960384 199215104 273920768 547841536 1095683072 2191366144