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222240414340 = 22572487465659
BaseRepresentation
bin1100111011111010001…
…1111001101010000100
3210020122022112210110001
43032332203321222010
512120122021224330
6250032411211044
722025216232100
oct3167643715204
9706568483401
10222240414340
1186284a1371a
12370a3a46a84
1317c59c08769
14aa83b64900
155baac419ca
hex33be8f9a84

222240414340 has 72 divisors (see below), whose sum is σ = 544017539520. Its totient is φ = 76040088768.

The previous prime is 222240414329. The next prime is 222240414379. The reversal of 222240414340 is 43414042222.

222240414340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 222240414299 and 222240414308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244431 + ... + 710089.

It is an arithmetic number, because the mean of its divisors is an integer number (7555799160).

Almost surely, 2222240414340 is an apocalyptic number.

222240414340 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 222240414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272008769760).

222240414340 is an abundant number, since it is smaller than the sum of its proper divisors (321777125180).

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

222240414340 is a wasteful number, since it uses less digits than its factorization.

222240414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466169 (or 466160 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 222240414340 its reverse (43414042222), we get a palindrome (265654456562).

The spelling of 222240414340 in words is "two hundred twenty-two billion, two hundred forty million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 487 490 974 980 1948 2435 3409 4870 6818 9740 13636 17045 23863 34090 47726 68180 95452 119315 238630 465659 477260 931318 1862636 2328295 3259613 4656590 6519226 9313180 13038452 16298065 22817291 32596130 45634582 65192260 91269164 114086455 226775933 228172910 453551866 456345820 907103732 1133879665 1587431531 2267759330 3174863062 4535518660 6349726124 7937157655 11112020717 15874315310 22224041434 31748630620 44448082868 55560103585 111120207170 222240414340