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422742210 = 2351119191353
BaseRepresentation
bin11001001100101…
…000100011000010
31002110110112021220
4121030220203002
51331210222320
6105540455510
713322151402
oct3114504302
91073415256
10422742210
111a7699530
12b96aa596
1369774c27
1440204802
15271a6e40
hex193288c2

422742210 has 128 divisors (see below), whose sum is σ = 1174487040. Its totient is φ = 96307200.

The previous prime is 422742209. The next prime is 422742217. The reversal of 422742210 is 12247224.

It is a super-2 number, since 2×4227422102 = 357421952231368200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422742217) 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 63 ways as a sum of consecutive naturals, for example, 1197394 + ... + 1197746.

It is an arithmetic number, because the mean of its divisors is an integer number (9175680).

Almost surely, 2422742210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422742210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587243520).

422742210 is an abundant number, since it is smaller than the sum of its proper divisors (751744830).

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

422742210 is a wasteful number, since it uses less digits than its factorization.

422742210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 422742210 is about 20560.6957567102. The cubic root of 422742210 is about 750.5135504965.

Adding to 422742210 its reverse (12247224), we get a palindrome (434989434).

The spelling of 422742210 in words is "four hundred twenty-two million, seven hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 191 209 285 330 353 382 418 570 573 627 706 955 1045 1059 1146 1254 1765 1910 2090 2101 2118 2865 3135 3530 3629 3883 4202 5295 5730 6270 6303 6707 7258 7766 10505 10590 10887 11649 12606 13414 18145 19415 20121 21010 21774 23298 31515 33535 36290 38830 39919 40242 54435 58245 63030 67070 67423 73777 79838 100605 108870 116490 119757 134846 147554 199595 201210 202269 221331 239514 337115 368885 399190 404538 442662 598785 674230 737770 741653 1011345 1106655 1197570 1281037 1483306 2022690 2213310 2224959 2562074 3708265 3843111 4449918 6405185 7416530 7686222 11124795 12810370 14091407 19215555 22249590 28182814 38431110 42274221 70457035 84548442 140914070 211371105 422742210