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22275220 = 2251119732
BaseRepresentation
bin101010011111…
…0010010010100
31112220200212011
41110332102110
521200301340
62113234004
7360223222
oct124762224
945820764
1022275220
1111634780
127562904
1347cbc06
142d5bb12
151e500ea
hex153e494

22275220 has 72 divisors (see below), whose sum is σ = 54462240. Its totient is φ = 7568640.

The previous prime is 22275217. The next prime is 22275223. The reversal of 22275220 is 2257222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22275217) and next prime (22275223).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22275191 and 22275200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22275223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305104 + ... + 305176.

It is an arithmetic number, because the mean of its divisors is an integer number (756420).

Almost surely, 222275220 is an apocalyptic number.

22275220 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 22275220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231120).

22275220 is an abundant number, since it is smaller than the sum of its proper divisors (32187020).

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

22275220 is a wasteful number, since it uses less digits than its factorization.

22275220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 22275220 is about 4719.6631235714. The cubic root of 22275220 is about 281.3675446118.

It can be divided in two parts, 2227 and 5220, that added together give a palindrome (7447).

The spelling of 22275220 in words is "twenty-two million, two hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 73 76 95 110 146 190 209 220 292 365 380 418 730 803 836 1045 1387 1460 1606 2090 2774 3212 4015 4180 5329 5548 6935 8030 10658 13870 15257 16060 21316 26645 27740 30514 53290 58619 61028 76285 101251 106580 117238 152570 202502 234476 293095 305140 405004 506255 586190 1012510 1113761 1172380 2025020 2227522 4455044 5568805 11137610 22275220