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4222560 = 253519463
BaseRepresentation
bin10000000110111001100000
321221112021010
4100012321200
52040110220
6230300520
750614446
oct20067140
97845233
104222560
112424521
1214b7740
13b4ac74
147bcb96
155861e0
hex406e60

4222560 has 96 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 1064448.

The previous prime is 4222553. The next prime is 4222577. The reversal of 4222560 is 652224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8889 + ... + 9351.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

Almost surely, 24222560 is an apocalyptic number.

4222560 is a gapful number since it is divisible by the number (40) 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 4222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015680).

4222560 is an abundant number, since it is smaller than the sum of its proper divisors (9808800).

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

4222560 is a wasteful number, since it uses less digits than its factorization.

4222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4222560 is about 2054.8868581993. The cubic root of 4222560 is about 161.6312294643.

Adding to 4222560 its reverse (652224), we get a palindrome (4874784).

The spelling of 4222560 in words is "four million, two hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 463 480 570 608 760 912 926 1140 1389 1520 1824 1852 2280 2315 2778 3040 3704 4560 4630 5556 6945 7408 8797 9120 9260 11112 13890 14816 17594 18520 22224 26391 27780 35188 37040 43985 44448 52782 55560 70376 74080 87970 105564 111120 131955 140752 175940 211128 222240 263910 281504 351880 422256 527820 703760 844512 1055640 1407520 2111280 4222560