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222225420 = 223579173271
BaseRepresentation
bin11010011111011…
…10010000001100
3120111011012222010
431033232100030
5423342203140
634015021220
75335612344
oct1517562014
9514135863
10222225420
1110449327a
126250a810
1337069641
1421729d24
1514799880
hexd3ee40c

222225420 has 96 divisors (see below), whose sum is σ = 636088320. Its totient is φ = 57957120.

The previous prime is 222225413. The next prime is 222225431. The reversal of 222225420 is 24522222.

222225420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819885 + ... + 820155.

It is an arithmetic number, because the mean of its divisors is an integer number (6625920).

Almost surely, 2222225420 is an apocalyptic number.

222225420 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 222225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318044160).

222225420 is an abundant number, since it is smaller than the sum of its proper divisors (413862900).

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

222225420 is a wasteful number, since it uses less digits than its factorization.

222225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 222225420 is about 14907.2271063401. The cubic root of 222225420 is about 605.7097696374.

Adding to 222225420 its reverse (24522222), we get a palindrome (246747642).

The spelling of 222225420 in words is "two hundred twenty-two million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 173 237 271 316 346 395 474 519 542 692 790 813 865 948 1038 1084 1185 1355 1580 1626 1730 2076 2370 2595 2710 3252 3460 4065 4740 5190 5420 8130 10380 13667 16260 21409 27334 41001 42818 46883 54668 64227 68335 82002 85636 93766 107045 128454 136670 140649 164004 187532 205005 214090 234415 256908 273340 281298 321135 410010 428180 468830 562596 642270 703245 820020 937660 1284540 1406490 2812980 3703757 7407514 11111271 14815028 18518785 22222542 37037570 44445084 55556355 74075140 111112710 222225420