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22313242000 = 245373151413
BaseRepresentation
bin10100110001111110…
…010000110110010000
32010121001022010201101
4110301332100312100
5331144142221000
614130042114144
71416641266450
oct246176206620
963531263641
1022313242000
119510274a75
1243a87ab954
132147a0819a
1411195ddd60
158a8da5e6a
hex531f90d90

22313242000 has 160 divisors (see below), whose sum is σ = 63651354624. Its totient is φ = 7403328000.

The previous prime is 22313241997. The next prime is 22313242001. The reversal of 22313242000 is 24231322.

It is a super-3 number, since 3×223132420003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22313242001) 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, 408294 + ... + 459706.

Almost surely, 222313242000 is an apocalyptic number.

22313242000 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 22313242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31825677312).

22313242000 is an abundant number, since it is smaller than the sum of its proper divisors (41338112624).

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

22313242000 is a wasteful number, since it uses less digits than its factorization.

22313242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51474 (or 51458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22313242000 its reverse (24231322), we get a palindrome (22337473322).

The spelling of 22313242000 in words is "twenty-two billion, three hundred thirteen million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 12400 14000 15500 17360 21700 27125 31000 43400 51413 54250 62000 86800 102826 108500 205652 217000 257065 359891 411304 434000 514130 719782 822608 1028260 1285325 1439564 1593803 1799455 2056520 2570650 2879128 3187606 3598910 4113040 5141300 5758256 6375212 6426625 7197820 7969015 8997275 10282600 11156621 12750424 12853250 14395640 15938030 17994550 20565200 22313242 25500848 25706500 28791280 31876060 35989100 39845075 44626484 44986375 51413000 55783105 63752120 71978200 79690150 89252968 89972750 102826000 111566210 127504240 143956400 159380300 178505936 179945500 199225375 223132420 278915525 318760600 359891000 398450750 446264840 557831050 637521200 719782000 796901500 892529680 1115662100 1394577625 1593803000 2231324200 2789155250 3187606000 4462648400 5578310500 11156621000 22313242000