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22000135344 = 2431164165003
BaseRepresentation
bin10100011111010011…
…110110110010110000
32002210020010200010120
4110133103312302300
5330024013312334
614035015130240
71406120031165
oct243723666260
962706120116
1022000135344
11936a559340
12431b973980
1320c7b9b785
1410c9bb806c
1588b658949
hex51f4f6cb0

22000135344 has 80 divisors (see below), whose sum is σ = 62098061184. Its totient is φ = 6656204800.

The previous prime is 22000135337. The next prime is 22000135369. The reversal of 22000135344 is 44353100022.

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

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 15 ways as a sum of consecutive naturals, for example, 305947 + ... + 370949.

Almost surely, 222000135344 is an apocalyptic number.

22000135344 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 22000135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31049030592).

22000135344 is an abundant number, since it is smaller than the sum of its proper divisors (40097925840).

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

22000135344 is a wasteful number, since it uses less digits than its factorization.

22000135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65666 (or 65660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22000135344 its reverse (44353100022), we get a palindrome (66353235366).

The spelling of 22000135344 in words is "twenty-two billion, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 641 1282 1923 2564 3846 5128 7051 7692 10256 14102 15384 21153 28204 30768 42306 56408 65003 84612 112816 130006 169224 195009 260012 338448 390018 520024 715033 780036 1040048 1430066 1560072 2145099 2860132 3120144 4290198 5720264 8580396 11440528 17160792 34321584 41666923 83333846 125000769 166667692 250001538 333335384 458336153 500003076 666670768 916672306 1000006152 1375008459 1833344612 2000012304 2750016918 3666689224 5500033836 7333378448 11000067672 22000135344