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22010312232 = 23323146121391
BaseRepresentation
bin10100011111111010…
…101011011000101000
32002210221021201012100
4110133322223120220
5330034114442412
614040021213400
71406302365336
oct243772533050
962727251170
1022010312232
11937527a397
124323261260
1320ca0229bc
1410cb2a6b56
1588c4b8edc
hex51feab628

22010312232 has 96 divisors (see below), whose sum is σ = 61670568960. Its totient is φ = 7084368000.

The previous prime is 22010312209. The next prime is 22010312243. The reversal of 22010312232 is 23221301022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1018257 + ... + 1039647.

It is an arithmetic number, because the mean of its divisors is an integer number (642401760).

Almost surely, 222010312232 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 22010312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30835284480).

22010312232 is an abundant number, since it is smaller than the sum of its proper divisors (39660256728).

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

22010312232 is a wasteful number, since it uses less digits than its factorization.

22010312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895 (or 21888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22010312232 its reverse (23221301022), we get a palindrome (45231613254).

The spelling of 22010312232 in words is "twenty-two billion, ten million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 461 558 744 922 1116 1383 1844 2232 2766 3688 4149 5532 8298 11064 14291 16596 21391 28582 33192 42782 42873 57164 64173 85564 85746 114328 128346 128619 171128 171492 192519 256692 257238 342984 385038 513384 514476 663121 770076 1028952 1326242 1540152 1989363 2652484 3978726 5304968 5968089 7957452 9861251 11936178 15914904 19722502 23872356 29583753 39445004 47744712 59167506 78890008 88751259 118335012 177502518 236670024 305698781 355005036 611397562 710010072 917096343 1222795124 1834192686 2445590248 2751289029 3668385372 5502578058 7336770744 11005156116 22010312232