Search a number
-
+
22480480 = 2551153241
BaseRepresentation
bin101010111000…
…0011001100000
31120022010102101
41111300121200
521223333410
62121500144
7362036521
oct125603140
946263371
1022480480
1111764a10
127641654
134871479
142db2848
151e90d3a
hex1570660

22480480 has 96 divisors (see below), whose sum is σ = 59276448. Its totient is φ = 7987200.

The previous prime is 22480463. The next prime is 22480483. The reversal of 22480480 is 8408422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22480483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93160 + ... + 93400.

It is an arithmetic number, because the mean of its divisors is an integer number (617463).

Almost surely, 222480480 is an apocalyptic number.

22480480 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 22480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638224).

22480480 is an abundant number, since it is smaller than the sum of its proper divisors (36795968).

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

22480480 is a wasteful number, since it uses less digits than its factorization.

22480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 22480480 is about 4741.3584551265. The cubic root of 22480480 is about 282.2291449403.

The spelling of 22480480 in words is "twenty-two million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 241 265 352 424 440 482 530 583 848 880 964 1060 1166 1205 1696 1760 1928 2120 2332 2410 2651 2915 3856 4240 4664 4820 5302 5830 7712 8480 9328 9640 10604 11660 12773 13255 18656 19280 21208 23320 25546 26510 38560 42416 46640 51092 53020 63865 84832 93280 102184 106040 127730 140503 204368 212080 255460 281006 408736 424160 510920 562012 702515 1021840 1124024 1405030 2043680 2248048 2810060 4496096 5620120 11240240 22480480