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22000133024 = 251763164091
BaseRepresentation
bin10100011111010011…
…110110001110100000
32002210020010112221122
4110133103312032200
5330024013224044
614035015111412
71406120021342
oct243723661640
962706115848
1022000133024
11936a557621
12431b972568
1320c7b9a6bc
1410c9bb7292
1588b657dee
hex51f4f63a0

22000133024 has 48 divisors (see below), whose sum is σ = 45933967296. Its totient is φ = 10336435200.

The previous prime is 22000132961. The next prime is 22000133053. The reversal of 22000133024 is 42033100022.

Adding to 22000133024 its reverse (42033100022), we get a palindrome (64033233046).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 22000132993 and 22000133011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311219 + ... + 375309.

It is an arithmetic number, because the mean of its divisors is an integer number (956957652).

Almost surely, 222000133024 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 22000133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966983648).

22000133024 is an abundant number, since it is smaller than the sum of its proper divisors (23933834272).

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

22000133024 is a wasteful number, since it uses less digits than its factorization.

22000133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64749 (or 64741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The spelling of 22000133024 in words is "twenty-two billion, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 631 1262 2524 5048 10096 10727 20192 21454 42908 64091 85816 128182 171632 256364 343264 512728 1025456 1089547 2050912 2179094 4358188 8716376 17432752 34865504 40441421 80882842 161765684 323531368 647062736 687504157 1294125472 1375008314 2750016628 5500033256 11000066512 22000133024