Search a number
-
+
22123020432 = 2435956913729
BaseRepresentation
bin10100100110101000…
…101000000010010000
32010002210100212210010
4110212220220002100
5330301443123212
614055125034520
71412141366562
oct244650500220
963083325703
1022123020432
119422960767
124354b55a40
132117495946
1410dc245332
1589732e03c
hex526a28090

22123020432 has 80 divisors (see below), whose sum is σ = 58226184000. Its totient is φ = 7236083712.

The previous prime is 22123020401. The next prime is 22123020433. The reversal of 22123020432 is 23402032122.

It is a junction number, because it is equal to n+sod(n) for n = 22123020399 and 22123020408.

It is not an unprimeable number, because it can be changed into a prime (22123020433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604544 + ... + 1618272.

It is an arithmetic number, because the mean of its divisors is an integer number (727827300).

Almost surely, 222123020432 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 22123020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113092000).

22123020432 is an abundant number, since it is smaller than the sum of its proper divisors (36103163568).

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

22123020432 is a wasteful number, since it uses less digits than its factorization.

22123020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22123020432 its reverse (23402032122), we get a palindrome (45525052554).

The spelling of 22123020432 in words is "twenty-two billion, one hundred twenty-three million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 569 708 944 1138 1416 1707 2276 2832 3414 4552 6828 9104 13656 13729 27312 27458 33571 41187 54916 67142 82374 100713 109832 134284 164748 201426 219664 268568 329496 402852 537136 658992 805704 810011 1611408 1620022 2430033 3240044 4860066 6480088 7811801 9720132 12960176 15623602 19440264 23435403 31247204 38880528 46870806 62494408 93741612 124988816 187483224 374966448 460896259 921792518 1382688777 1843585036 2765377554 3687170072 5530755108 7374340144 11061510216 22123020432