Search a number
-
+
22242513000 = 2335337200383
BaseRepresentation
bin10100101101110000…
…011101000001101000
32010102010012201202210
4110231300131001220
5331023040404000
614115034125120
71415122145451
oct245560350150
963363181683
1022242513000
119484356254
124388b807a0
1321361728c6
14111006c128
158a2a84350
hex52dc1d068

22242513000 has 128 divisors (see below), whose sum is σ = 71272581120. Its totient is φ = 5771001600.

The previous prime is 22242512987. The next prime is 22242513049. The reversal of 22242513000 is 31524222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10809 + ... + 211191.

It is an arithmetic number, because the mean of its divisors is an integer number (556817040).

Almost surely, 222242513000 is an apocalyptic number.

22242513000 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 22242513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35636290560).

22242513000 is an abundant number, since it is smaller than the sum of its proper divisors (49030068120).

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

22242513000 is a wasteful number, since it uses less digits than its factorization.

22242513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200444 (or 200430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 22242513000 in words is "twenty-two billion, two hundred forty-two million, five hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 200383 400766 601149 801532 1001915 1202298 1603064 2003830 2404596 3005745 4007660 4809192 5009575 6011490 7414171 8015320 10019150 12022980 14828342 15028725 20038300 22242513 24045960 25047875 29656684 30057450 37070855 40076600 44485026 50095750 59313368 60114900 74141710 75143625 88970052 100191500 111212565 120229800 148283420 150287250 177940104 185354275 200383000 222425130 296566840 300574500 370708550 444850260 556062825 601149000 741417100 889700520 926771375 1112125650 1482834200 1853542750 2224251300 2780314125 3707085500 4448502600 5560628250 7414171000 11121256500 22242513000