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22250141440 = 285791391583
BaseRepresentation
bin10100101110001101…
…100011011100000000
32010102122120022000121
4110232031203130000
5331032014011230
614115505430024
71415244040012
oct245615433400
963378508017
1022250141440
11948869664a
12438b63b314
132137913b87
1411110961b2
158a358e77a
hex52e363700

22250141440 has 144 divisors (see below), whose sum is σ = 54393292800. Its totient is φ = 8718667776.

The previous prime is 22250141411. The next prime is 22250141449. The reversal of 22250141440 is 4414105222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22250141449) 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, 14054889 + ... + 14056471.

It is an arithmetic number, because the mean of its divisors is an integer number (377731200).

Almost surely, 222250141440 is an apocalyptic number.

22250141440 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 22250141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27196646400).

22250141440 is an abundant number, since it is smaller than the sum of its proper divisors (32143151360).

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

22250141440 is a wasteful number, since it uses less digits than its factorization.

22250141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 22250141440 its reverse (4414105222), we get a palindrome (26664246662).

The spelling of 22250141440 in words is "twenty-two billion, two hundred fifty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 139 158 160 256 278 316 320 395 556 632 640 695 790 1112 1264 1280 1390 1580 1583 2224 2528 2780 3160 3166 4448 5056 5560 6320 6332 7915 8896 10112 10981 11120 12640 12664 15830 17792 20224 21962 22240 25280 25328 31660 35584 43924 44480 50560 50656 54905 63320 87848 88960 101120 101312 109810 125057 126640 175696 177920 202624 219620 220037 250114 253280 351392 405248 439240 440074 500228 506560 625285 702784 878480 880148 1000456 1013120 1100185 1250570 1405568 1756960 1760296 2000912 2026240 2200370 2501140 2811136 3513920 3520592 4001824 4400740 5002280 7027840 7041184 8003648 8801480 10004560 14055680 14082368 16007296 17382923 17602960 20009120 28164736 32014592 34765846 35205920 40018240 56329472 69531692 70411840 80036480 86914615 139063384 140823680 160072960 173829230 278126768 281647360 347658460 556253536 695316920 1112507072 1390633840 2225014144 2781267680 4450028288 5562535360 11125070720 22250141440