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2233311132 = 22313233371847
BaseRepresentation
bin1000010100011101…
…1001111110011100
312202122100221221010
42011013121332130
514033211424012
61005335335220
7106225555113
oct20507317634
95678327833
102233311132
11a46711788
12523b21510
132978c57a0
1417286cc7a
15d10ebc3c
hex851d9f9c

2233311132 has 96 divisors (see below), whose sum is σ = 5876462592. Its totient is φ = 654990336.

The previous prime is 2233311121. The next prime is 2233311139. The reversal of 2233311132 is 2311133322.

It is a super-2 number, since 2×22333111322 = 9975357224630242848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2233311099 and 2233311108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233311139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208233 + ... + 1210079.

It is an arithmetic number, because the mean of its divisors is an integer number (61213152).

Almost surely, 22233311132 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 2233311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938231296).

2233311132 is an abundant number, since it is smaller than the sum of its proper divisors (3643151460).

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

2233311132 is a wasteful number, since it uses less digits than its factorization.

2233311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2225 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 2233311132 is about 47257.9213677453. The cubic root of 2233311132 is about 1307.1228606625.

Adding to 2233311132 its reverse (2311133322), we get a palindrome (4544444454).

The spelling of 2233311132 in words is "two billion, two hundred thirty-three million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 337 598 674 897 1011 1196 1348 1794 1847 2022 3588 3694 4044 4381 5541 7388 7751 8762 11082 13143 15502 17524 22164 23253 24011 26286 31004 42481 46506 48022 52572 72033 84962 93012 96044 100763 127443 144066 169924 201526 254886 288132 302289 403052 509772 552253 604578 622439 1104506 1209156 1244878 1656759 1867317 2209012 2489756 3313518 3734634 6627036 7469268 8091707 14316097 16183414 24275121 28632194 32366828 42948291 48550242 57264388 85896582 97100484 171793164 186109261 372218522 558327783 744437044 1116655566 2233311132