Search a number
-
+
22023114240 = 29353192503
BaseRepresentation
bin10100100000101011…
…100000111000000000
32002211211101010020210
4110200223200320000
5330100404123430
614041155434120
71406516245101
oct244053407000
962754333223
1022023114240
119381523766
1243275b5940
1320cc885a5a
1410ccc7a3a8
1588d6972b0
hex520ae0e00

22023114240 has 160 divisors (see below), whose sum is σ = 72677062656. Its totient is φ = 5683322880.

The previous prime is 22023114181. The next prime is 22023114247. The reversal of 22023114240 is 4241132022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023114247) 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 15 ways as a sum of consecutive naturals, for example, 191829 + ... + 284331.

Almost surely, 222023114240 is an apocalyptic number.

22023114240 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 22023114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36338531328).

22023114240 is an abundant number, since it is smaller than the sum of its proper divisors (50653948416).

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

22023114240 is an equidigital number, since it uses as much as digits as its factorization.

22023114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92560 (or 92544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22023114240 its reverse (4241132022), we get a palindrome (26264246262).

The spelling of 22023114240 in words is "twenty-two billion, twenty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 14880 15872 19840 23808 29760 39680 47616 59520 79360 92503 119040 185006 238080 277509 370012 462515 555018 740024 925030 1110036 1387545 1480048 1850060 2220072 2775090 2867593 2960096 3700120 4440144 5550180 5735186 5920192 7400240 8602779 8880288 11100360 11470372 11840384 14337965 14800480 17205558 17760576 22200720 22940744 23680768 28675930 29600960 34411116 35521152 43013895 44401440 45881488 47361536 57351860 59201920 68822232 71042304 86027790 88802880 91762976 114703720 118403840 137644464 142084608 172055580 177605760 183525952 229407440 236807680 275288928 344111160 355211520 367051904 458814880 550577856 688222320 710423040 734103808 917629760 1101155712 1376444640 1468207616 1835259520 2202311424 2752889280 3670519040 4404622848 5505778560 7341038080 11011557120 22023114240