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2271990864 = 2431121330091
BaseRepresentation
bin1000011101101011…
…1101010001010000
312212100011002112210
42013122331101100
514123112201424
61013240352120
7110205414033
oct20732752120
95770132483
102271990864
11a66530400
12534a75640
132a29193c0
14177a5b01a
15d46dc729
hex876bd450

2271990864 has 120 divisors (see below), whose sum is σ = 6947881696. Its totient is φ = 635500800.

The previous prime is 2271990839. The next prime is 2271990881. The reversal of 2271990864 is 4680991722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60459 + ... + 90549.

Almost surely, 22271990864 is an apocalyptic number.

2271990864 is a gapful number since it is divisible by the number (24) 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 2271990864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473940848).

2271990864 is an abundant number, since it is smaller than the sum of its proper divisors (4675890832).

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

2271990864 is a wasteful number, since it uses less digits than its factorization.

2271990864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30137 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2271990864 is about 47665.4053166445. The cubic root of 2271990864 is about 1314.6259281913.

The spelling of 2271990864 in words is "two billion, two hundred seventy-one million, nine hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5808 6292 6864 9438 12584 18876 25168 30091 37752 60182 75504 90273 120364 180546 240728 331001 361092 391183 481456 662002 722184 782366 993003 1173549 1324004 1444368 1564732 1986006 2347098 2648008 3129464 3641011 3972012 4303013 4694196 5296016 6258928 7282022 7944024 8606026 9388392 10923033 12909039 14564044 15888048 17212052 18776784 21846066 25818078 29128088 34424104 43692132 47333143 51636156 58256176 68848208 87384264 94666286 103272312 141999429 174768528 189332572 206544624 283998858 378665144 567997716 757330288 1135995432 2271990864