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5205222 = 2341123127
BaseRepresentation
bin10011110110110011100110
3100210110020000
4103312303212
52313031342
6303322130
762146401
oct23666346
910713200
105205222
112a35840
1218b0346
131103319
14996d38
156cc44c
hex4f6ce6

5205222 has 80 divisors (see below), whose sum is σ = 13381632. Its totient is φ = 1496880.

The previous prime is 5205173. The next prime is 5205227. The reversal of 5205222 is 2225025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5205195 and 5205204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40923 + ... + 41049.

Almost surely, 25205222 is an apocalyptic number.

5205222 is the 1863-rd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690816).

5205222 is an abundant number, since it is smaller than the sum of its proper divisors (8176410).

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

5205222 is a wasteful number, since it uses less digits than its factorization.

5205222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5205222 is about 2281.4955621259. The cubic root of 5205222 is about 173.3057952636.

The spelling of 5205222 in words is "five million, two hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 127 138 162 198 207 253 254 297 381 414 506 594 621 759 762 891 1143 1242 1397 1518 1782 1863 2277 2286 2794 2921 3429 3726 4191 4554 5842 6831 6858 8382 8763 10287 12573 13662 17526 20493 20574 25146 26289 32131 37719 40986 52578 64262 75438 78867 96393 113157 157734 192786 226314 236601 289179 473202 578358 867537 1735074 2602611 5205222