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22000233332 = 227112325112373
BaseRepresentation
bin10100011111010100…
…001110101101110100
32002210020022122112202
4110133110032231310
5330024024431312
614035021204032
71406120616650
oct243724165564
962706278482
1022000233332
11936a615a20
12431ba00618
1320c7c0425c
1410c9c01a60
1588b6779c2
hex51f50eb74

22000233332 has 96 divisors (see below), whose sum is σ = 50291103744. Its totient is φ = 8165520000.

The previous prime is 22000233331. The next prime is 22000233347. The reversal of 22000233332 is 23333200022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000233331) by changing a digit.

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, 1771898 + ... + 1784270.

It is an arithmetic number, because the mean of its divisors is an integer number (523865664).

Almost surely, 222000233332 is an apocalyptic number.

22000233332 is a gapful number since it is divisible by the number (22) 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 22000233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145551872).

22000233332 is an abundant number, since it is smaller than the sum of its proper divisors (28290870412).

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

22000233332 is a wasteful number, since it uses less digits than its factorization.

22000233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 22000233332 its reverse (23333200022), we get a palindrome (45333433354).

The spelling of 22000233332 in words is "twenty-two billion, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 251 253 308 322 502 506 644 1004 1012 1757 1771 2761 3514 3542 5522 5773 7028 7084 11044 11546 12373 19327 23092 24746 38654 40411 49492 63503 77308 80822 86611 127006 136103 161644 173222 254012 272206 284579 346444 444521 544412 569158 889042 952721 1138316 1778084 1905442 1992053 3105623 3130369 3810884 3984106 6211246 6260738 7968212 12422492 12521476 21739361 21912583 34161853 43478722 43825166 68323706 71429329 86957444 87650332 136647412 142858658 239132971 285717316 478265942 500005303 785722619 956531884 1000010606 1571445238 2000021212 3142890476 5500058333 11000116666 22000233332