Search a number
-
+
22233433104 = 2432837512477
BaseRepresentation
bin10100101101001101…
…110100010000010000
32010101111010102111100
4110231031310100100
5331013224324404
614114111344400
71414652030451
oct245515642020
963344112440
1022233433104
11947a214403
124385b22100
132134313a9c
14110cb87128
158a1d8dd39
hex52d374410

22233433104 has 120 divisors (see below), whose sum is σ = 63081712512. Its totient is φ = 7309152000.

The previous prime is 22233433099. The next prime is 22233433109. The reversal of 22233433104 is 40133433222.

22233433104 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 343 + 310 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22233433099) and next prime (22233433109).

It is not an unprimeable number, because it can be changed into a prime (22233433109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8974714 + ... + 8977190.

Almost surely, 222233433104 is an apocalyptic number.

22233433104 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 22233433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540856256).

22233433104 is an abundant number, since it is smaller than the sum of its proper divisors (40848279408).

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

22233433104 is a wasteful number, since it uses less digits than its factorization.

22233433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22233433104 its reverse (40133433222), we get a palindrome (62366866326).

The spelling of 22233433104 in words is "twenty-two billion, two hundred thirty-three million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 751 996 1328 1494 1502 1992 2253 2477 2988 3004 3984 4506 4954 5976 6008 6759 7431 9012 9908 11952 12016 13518 14862 18024 19816 22293 27036 29724 36048 39632 44586 54072 59448 62333 89172 108144 118896 124666 178344 186999 205591 249332 356688 373998 411182 498664 560997 616773 747996 822364 997328 1121994 1233546 1495992 1644728 1850319 1860227 2243988 2467092 2991984 3289456 3700638 3720454 4487976 4934184 5580681 7401276 7440908 8975952 9868368 11161362 14802552 14881816 16742043 22322724 29605104 29763632 33484086 44645448 66968172 89290896 133936344 154398841 267872688 308797682 463196523 617595364 926393046 1235190728 1389589569 1852786092 2470381456 2779179138 3705572184 5558358276 7411144368 11116716552 22233433104