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2231400012 = 2232947227601
BaseRepresentation
bin1000010100000000…
…0111011001001100
312202111202212100220
42011000013121030
514032214300022
61005230351340
7106203405252
oct20500073114
95674685326
102231400012
11a45626946
1252335b550
132973a694a
141724d25d2
15d0d7085c
hex8500764c

2231400012 has 96 divisors (see below), whose sum is σ = 5534161920. Its totient is φ = 698611200.

The previous prime is 2231400007. The next prime is 2231400029. The reversal of 2231400012 is 2100041322.

It is a super-3 number, since 3×22314000123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231399964 and 2231400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712512 + ... + 3713112.

It is an arithmetic number, because the mean of its divisors is an integer number (57647520).

Almost surely, 22231400012 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 2231400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767080960).

2231400012 is an abundant number, since it is smaller than the sum of its proper divisors (3302761908).

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

2231400012 is a wasteful number, since it uses less digits than its factorization.

2231400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2231400012 is about 47237.6969379329. The cubic root of 2231400012 is about 1306.7499044862.

Adding to 2231400012 its reverse (2100041322), we get a palindrome (4331441334).

The spelling of 2231400012 in words is "two billion, two hundred thirty-one million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 227 282 348 454 564 601 681 908 1202 1362 1363 1803 2404 2724 2726 3606 4089 5452 6583 7212 8178 10669 13166 16356 17429 19749 21338 26332 28247 32007 34858 39498 42676 52287 56494 64014 69716 78996 84741 104574 112988 128028 136427 169482 209148 272854 309401 338964 409281 545708 618802 818562 819163 928203 1237604 1637124 1638326 1856406 2457489 3276652 3712812 3956383 4914978 6412069 7912766 9829956 11869149 12824138 15825532 19236207 23738298 25648276 38472414 47476596 76944828 185950001 371900002 557850003 743800004 1115700006 2231400012