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22220484 = 223111323563
BaseRepresentation
bin101010011000…
…0111011000100
31112210220202220
41110300323010
521142023414
62112132340
7356604516
oct124607304
945726686
1022220484
11115a7640
1275370b0
1347b0020
142d45bb6
151e3dca9
hex1530ec4

22220484 has 96 divisors (see below), whose sum is σ = 63673344. Its totient is φ = 5934720.

The previous prime is 22220453. The next prime is 22220489. The reversal of 22220484 is 48402222.

It is not an unprimeable number, because it can be changed into a prime (22220489) 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 31 ways as a sum of consecutive naturals, for example, 39187 + ... + 39749.

It is an arithmetic number, because the mean of its divisors is an integer number (663264).

Almost surely, 222220484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836672).

22220484 is an abundant number, since it is smaller than the sum of its proper divisors (41452860).

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

22220484 is a wasteful number, since it uses less digits than its factorization.

22220484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22220484 is about 4713.8608379968. The cubic root of 22220484 is about 281.1368912091.

It can be divided in two parts, 222 and 20484, that added together give a triangular number (20706 = T203).

The spelling of 22220484 in words is "twenty-two million, two hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 563 572 598 759 858 897 1012 1126 1196 1518 1689 1716 1794 2252 3036 3289 3378 3588 6193 6578 6756 7319 9867 12386 12949 13156 14638 18579 19734 21957 24772 25898 29276 37158 38847 39468 43914 51796 74316 77694 80509 87828 142439 155388 161018 168337 241527 284878 322036 336674 427317 483054 505011 569756 673348 854634 966108 1010022 1709268 1851707 2020044 3703414 5555121 7406828 11110242 22220484