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22120300032 = 293107134591
BaseRepresentation
bin10100100110011110…
…001111111000000000
32010002121020200002120
4110212132033320000
5330300244100112
614054550444240
71412106306435
oct244636177000
963077220076
1022120300032
1194213728a6
124354063680
132116a5263c
1410dbb37b8c
15896e92e8c
hex52678fe00

22120300032 has 80 divisors (see below), whose sum is σ = 59481050112. Its totient is φ = 7304468480.

The previous prime is 22120300021. The next prime is 22120300051. The reversal of 22120300032 is 23000302122.

It is a junction number, because it is equal to n+sod(n) for n = 22120299984 and 22120300020.

It is a congruent number.

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, 97057 + ... + 231647.

Almost surely, 222120300032 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 22120300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29740525056).

22120300032 is an abundant number, since it is smaller than the sum of its proper divisors (37360750080).

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

22120300032 is a wasteful number, since it uses less digits than its factorization.

22120300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134719 (or 134703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22120300032 its reverse (23000302122), we get a palindrome (45120602154).

The spelling of 22120300032 in words is "twenty-two billion, one hundred twenty million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1284 1536 1712 2568 3424 5136 6848 10272 13696 20544 27392 41088 54784 82176 134591 164352 269182 403773 538364 807546 1076728 1615092 2153456 3230184 4306912 6460368 8613824 12920736 14401237 17227648 25841472 28802474 34455296 43203711 51682944 57604948 68910592 86407422 103365888 115209896 172814844 206731776 230419792 345629688 460839584 691259376 921679168 1382518752 1843358336 2765037504 3686716672 5530075008 7373433344 11060150016 22120300032