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22481664 = 28373401
BaseRepresentation
bin101010111000…
…0101100000000
31120022012001020
41111300230000
521223403124
62121505440
7362043132
oct125605400
946265036
1022481664
1111765897
127642280
134871b7a
142db3052
151e91379
hex1570b00

22481664 has 72 divisors (see below), whose sum is σ = 60804912. Its totient is φ = 7372800.

The previous prime is 22481659. The next prime is 22481677. The reversal of 22481664 is 46618422.

It is a nude number because it is divisible by every one of its digits.

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, 55864 + ... + 56264.

Almost surely, 222481664 is an apocalyptic number.

22481664 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 22481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30402456).

22481664 is an abundant number, since it is smaller than the sum of its proper divisors (38323248).

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

22481664 is an equidigital number, since it uses as much as digits as its factorization.

22481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22481664 is about 4741.4833122136. The cubic root of 22481664 is about 282.2340996602.

The spelling of 22481664 in words is "twenty-two million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 401 438 584 768 802 876 1168 1203 1604 1752 2336 2406 3208 3504 4672 4812 6416 7008 9344 9624 12832 14016 18688 19248 25664 28032 29273 38496 51328 56064 58546 76992 87819 102656 117092 153984 175638 234184 307968 351276 468368 702552 936736 1405104 1873472 2810208 3746944 5620416 7493888 11240832 22481664