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22241023000 = 2353723138143
BaseRepresentation
bin10100101101101010…
…110001010000011000
32010102000102000212121
4110231222301100120
5331022200214000
614114542151024
71415103401440
oct245552612030
963360360777
1022241023000
119483528849
124388582474
132135a70651
14110dba1120
158a288cb1a
hex52dab1418

22241023000 has 128 divisors (see below), whose sum is σ = 62065336320. Its totient is φ = 7293897600.

The previous prime is 22241022997. The next prime is 22241023001. The reversal of 22241023000 is 32014222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91929 + ... + 230071.

It is an arithmetic number, because the mean of its divisors is an integer number (484885440).

Almost surely, 222241023000 is an apocalyptic number.

22241023000 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 22241023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31032668160).

22241023000 is an abundant number, since it is smaller than the sum of its proper divisors (39824313320).

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

22241023000 is a wasteful number, since it uses less digits than its factorization.

22241023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138194 (or 138180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22241023000 its reverse (32014222), we get a palindrome (22273037222).

The spelling of 22241023000 in words is "twenty-two billion, two hundred forty-one million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 138143 161000 276286 552572 690715 967001 1105144 1381430 1934002 2762860 3177289 3453575 3868004 4835005 5525720 6354578 6907150 7736008 9670010 12709156 13814300 15886445 17267875 19340020 22241023 24175025 25418312 27628600 31772890 34535750 38680040 44482046 48350050 63545780 69071500 79432225 88964092 96700100 111205115 120875125 127091560 138143000 158864450 177928184 193400200 222410230 241750250 317728900 397161125 444820460 483500500 556025575 635457800 794322250 889640920 967001000 1112051150 1588644500 2224102300 2780127875 3177289000 4448204600 5560255750 11120511500 22241023000