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2211421344 = 253114634523
BaseRepresentation
bin1000001111001111…
…1001110010100000
312201010011211210020
42003303321302200
514012110440334
61003234233440
7105541525356
oct20363716240
95633154706
102211421344
11a35320650
12518725880
13293200152
1416d9b17d6
15ce225e49
hex83cf9ca0

2211421344 has 96 divisors (see below), whose sum is σ = 6347787264. Its totient is φ = 668532480.

The previous prime is 2211421337. The next prime is 2211421357. The reversal of 2211421344 is 4431241122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486667 + ... + 491189.

It is an arithmetic number, because the mean of its divisors is an integer number (66122784).

Almost surely, 22211421344 is an apocalyptic number.

2211421344 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 2211421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173893632).

2211421344 is an abundant number, since it is smaller than the sum of its proper divisors (4136365920).

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

2211421344 is a wasteful number, since it uses less digits than its factorization.

2211421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5002 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2211421344 is about 47025.7519238130. The cubic root of 2211421344 is about 1302.8382453949.

Adding to 2211421344 its reverse (4431241122), we get a palindrome (6642662466).

The spelling of 2211421344 in words is "two billion, two hundred eleven million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 463 528 926 1056 1389 1852 2778 3704 4523 5093 5556 7408 9046 10186 11112 13569 14816 15279 18092 20372 22224 27138 30558 36184 40744 44448 49753 54276 61116 72368 81488 99506 108552 122232 144736 149259 162976 199012 217104 244464 298518 398024 434208 488928 597036 796048 1194072 1592096 2094149 2388144 4188298 4776288 6282447 8376596 12564894 16753192 23035639 25129788 33506384 46071278 50259576 67012768 69106917 92142556 100519152 138213834 184285112 201038304 276427668 368570224 552855336 737140448 1105710672 2211421344