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22213408 = 257131757
BaseRepresentation
bin101010010111…
…1001100100000
31112210120001211
41110233030200
521141312113
62112035504
7356545060
oct124571440
945716054
1022213408
11115a2298
127532b94
1347a9a39
142d433a0
151e3bb3d
hex152f320

22213408 has 48 divisors (see below), whose sum is σ = 50428224. Its totient is φ = 9434880.

The previous prime is 22213403. The next prime is 22213417. The reversal of 22213408 is 80431222.

It is not an unprimeable number, because it can be changed into a prime (22213403) 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 7 ways as a sum of consecutive naturals, for example, 28966 + ... + 29722.

It is an arithmetic number, because the mean of its divisors is an integer number (1050588).

Almost surely, 222213408 is an apocalyptic number.

22213408 is a gapful number since it is divisible by the number (28) 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 22213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214112).

22213408 is an abundant number, since it is smaller than the sum of its proper divisors (28214816).

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

22213408 is a wasteful number, since it uses less digits than its factorization.

22213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22213408 is about 4713.1102257427. The cubic root of 22213408 is about 281.1070458370.

It can be divided in two parts, 2 and 2213408, that multiplied together give a square (4426816 = 21042).

The spelling of 22213408 in words is "twenty-two million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 757 917 1048 1514 1834 2096 3028 3668 4192 5299 6056 7336 10598 12112 14672 21196 24224 29344 42392 84784 99167 169568 198334 396668 694169 793336 1388338 1586672 2776676 3173344 5553352 11106704 22213408