Search a number
-
+
22206480 = 2435671381
BaseRepresentation
bin101010010110…
…1100000010000
31112210012120020
41110231200100
521141101410
62111543440
7356515632
oct124554020
945705506
1022206480
111159806a
12752ab80
1347a683a
142d40a52
151e39a70
hex152d810

22206480 has 80 divisors (see below), whose sum is σ = 69918144. Its totient is φ = 5829120.

The previous prime is 22206473. The next prime is 22206493. The reversal of 22206480 is 8460222.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22206480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15390 + ... + 16770.

Almost surely, 222206480 is an apocalyptic number.

22206480 is a gapful number since it is divisible by the number (20) 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 22206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34959072).

22206480 is an abundant number, since it is smaller than the sum of its proper divisors (47711664).

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

22206480 is a wasteful number, since it uses less digits than its factorization.

22206480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22206480 is about 4712.3751972864. The cubic root of 22206480 is about 281.0778185625.

The spelling of 22206480 in words is "twenty-two million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1381 1608 2010 2680 2762 3216 4020 4143 5360 5524 6905 8040 8286 11048 13810 16080 16572 20715 22096 27620 33144 41430 55240 66288 82860 92527 110480 165720 185054 277581 331440 370108 462635 555162 740216 925270 1110324 1387905 1480432 1850540 2220648 2775810 3701080 4441296 5551620 7402160 11103240 22206480