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22440000022240 = 255236659915727
BaseRepresentation
bin1010001101000101110000…
…01110101110011011100000
32221110020120011222101121211
411012202320032232123200
510420124110001202430
6115420443234355504
74504144056013423
oct506427016563340
987406504871554
1022440000022240
117171829003a39
12262503272bb94
13c6a110245b48
1457815d4859ba
1528dab124a72a
hex1468b83ae6e0

22440000022240 has 96 divisors (see below), whose sum is σ = 55327846210560. Its totient is φ = 8584440420864.

The previous prime is 22440000022189. The next prime is 22440000022249. The reversal of 22440000022240 is 4222000004422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22440000022249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24047257 + ... + 24962983.

It is an arithmetic number, because the mean of its divisors is an integer number (576331731360).

Almost surely, 222440000022240 is an apocalyptic number.

22440000022240 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 22440000022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27663923105280).

22440000022240 is an abundant number, since it is smaller than the sum of its proper divisors (32887846188320).

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

22440000022240 is a wasteful number, since it uses less digits than its factorization.

22440000022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922424 (or 922416 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22440000022240 its reverse (4222000004422), we get a palindrome (26662000026662).

The spelling of 22440000022240 in words is "twenty-two trillion, four hundred forty billion, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 6659 13318 26636 33295 53272 66590 106544 133180 153157 213088 266360 306314 532720 612628 765785 915727 1065440 1225256 1531570 1831454 2450512 3063140 3662908 4578635 4901024 6126280 7325816 9157270 12252560 14651632 18314540 21061721 24505120 29303264 36629080 42123442 73258160 84246884 105308605 146516320 168493768 210617210 336987536 421234420 673975072 842468840 1684937680 3369875360 6097826093 12195652186 24391304372 30489130465 48782608744 60978260930 97565217488 121956521860 140250000139 195130434976 243913043720 280500000278 487826087440 561000000556 701250000695 975652174880 1122000001112 1402500001390 2244000002224 2805000002780 4488000004448 5610000005560 11220000011120 22440000022240