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2214532316560 = 245791133139907
BaseRepresentation
bin100000001110011100011…
…010010111110110010000
321211201002120020201002011
4200032130122113312100
5242240330233112220
64413201521032304
7315665114051644
oct40163432276620
97751076221064
102214532316560
117841a583a563
122b9236485694
13130aa2550a15
1479280a12c24
153c91218365a
hex2039c697d90

2214532316560 has 160 divisors (see below), whose sum is σ = 5277441507840. Its totient is φ = 864003538944.

The previous prime is 2214532316543. The next prime is 2214532316573. The reversal of 2214532316560 is 656132354122.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223527127 + ... + 223537033.

It is an arithmetic number, because the mean of its divisors is an integer number (32984009424).

Almost surely, 22214532316560 is an apocalyptic number.

2214532316560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214532316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638720753920).

2214532316560 is an abundant number, since it is smaller than the sum of its proper divisors (3062909191280).

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

2214532316560 is a wasteful number, since it uses less digits than its factorization.

2214532316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2214532316560 in words is "two trillion, two hundred fourteen billion, five hundred thirty-two million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 113 158 226 313 316 395 452 565 626 632 790 904 1130 1252 1264 1565 1580 1808 2260 2504 3130 3160 4520 5008 6260 6320 8927 9040 9907 12520 17854 19814 24727 25040 35369 35708 39628 44635 49454 49535 70738 71416 79256 89270 98908 99070 123635 141476 142832 158512 176845 178540 197816 198140 247270 282952 353690 357080 395632 396280 494540 565904 707380 714160 782653 792560 989080 1119491 1414760 1565306 1978160 2238982 2794151 2829520 3100891 3130612 3913265 4477964 5588302 5597455 6201782 6261224 7826530 8955928 11176604 11194910 12403564 12522448 13970755 15504455 15653060 17911856 22353208 22389820 24807128 27941510 31008910 31306120 44706416 44779640 49614256 55883020 62017820 62612240 88439789 89559280 111766040 124035640 176879578 223532080 244970389 248071280 350400683 353759156 442198945 489940778 700801366 707518312 884397890 979881556 1224851945 1401602732 1415036624 1752003415 1768795780 1959763112 2449703890 2803205464 3504006830 3537591560 3919526224 4899407780 5606410928 7008013660 7075183120 9798815560 14016027320 19597631120 27681653957 28032054640 55363307914 110726615828 138408269785 221453231656 276816539570 442906463312 553633079140 1107266158280 2214532316560