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22420224330 = 2357239587761
BaseRepresentation
bin10100111000010110…
…010111100101001010
32010212111121101212220
4110320112113211022
5331404034134310
614144423114510
71422410522340
oct247026274512
963774541786
1022420224330
1195656a5419
1244185a2a36
132163c24b3a
1411298cb990
158b3489670
hex53859794a

22420224330 has 128 divisors (see below), whose sum is σ = 61939261440. Its totient is φ = 5087792640.

The previous prime is 22420224317. The next prime is 22420224347. The reversal of 22420224330 is 3342202422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22420224330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29461150 + ... + 29461910.

It is an arithmetic number, because the mean of its divisors is an integer number (483900480).

Almost surely, 222420224330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420224330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30969630720).

22420224330 is an abundant number, since it is smaller than the sum of its proper divisors (39519037110).

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

22420224330 is a wasteful number, since it uses less digits than its factorization.

22420224330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22420224330 its reverse (3342202422), we get a palindrome (25762426752).

The spelling of 22420224330 in words is "twenty-two billion, four hundred twenty million, two hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 478 587 717 761 1174 1195 1434 1522 1673 1761 2283 2390 2935 3346 3522 3585 3805 4109 4566 5019 5327 5870 7170 7610 8218 8365 8805 10038 10654 11415 12327 15981 16730 17610 20545 22830 24654 25095 26635 31962 41090 50190 53270 61635 79905 123270 140293 159810 181879 280586 363758 420879 446707 545637 701465 841758 893414 909395 982051 1091274 1273153 1340121 1402930 1818790 1964102 2104395 2233535 2546306 2680242 2728185 2946153 3126949 3819459 4208790 4467070 4910255 5456370 5892306 6253898 6365765 6700605 7638918 9380847 9820510 12731530 13401210 14730765 15634745 18761694 19097295 29461530 31269490 38194590 46904235 93808470 106762973 213525946 320288919 533814865 640577838 747340811 1067629730 1494681622 1601444595 2242022433 3202889190 3736704055 4484044866 7473408110 11210112165 22420224330