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22251112240 = 2457471077901
BaseRepresentation
bin10100101110010001…
…010000011100110000
32010102201101121201011
4110232101100130300
5331032241042430
614115542320304
71415255222230
oct245621203460
963381347634
1022251112240
119489199a65
12438ba29094
132137b93a06
141111269cc0
158a36d222a
hex52e450730

22251112240 has 160 divisors (see below), whose sum is σ = 60954384384. Its totient is φ = 7395916800.

The previous prime is 22251112229. The next prime is 22251112243. The reversal of 22251112240 is 4221115222.

It is a super-2 number, since 2×222511122402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22251112243) 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, 2812290 + ... + 2820190.

Almost surely, 222251112240 is an apocalyptic number.

22251112240 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 22251112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477192192).

22251112240 is an abundant number, since it is smaller than the sum of its proper divisors (38703272144).

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

22251112240 is a wasteful number, since it uses less digits than its factorization.

22251112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 22251112240 its reverse (4221115222), we get a palindrome (26472227462).

The spelling of 22251112240 in words is "twenty-two billion, two hundred fifty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 107 112 140 188 214 235 280 329 376 428 470 535 560 658 749 752 856 940 1070 1316 1498 1645 1712 1880 2140 2632 2996 3290 3745 3760 4280 5029 5264 5992 6580 7490 7901 8560 10058 11984 13160 14980 15802 20116 25145 26320 29960 31604 35203 39505 40232 50290 55307 59920 63208 70406 79010 80464 100580 110614 126416 140812 158020 176015 201160 221228 276535 281624 316040 352030 371347 402320 442456 553070 563248 632080 704060 742694 845407 884912 1106140 1408120 1485388 1690814 1856735 2212280 2599429 2816240 2970776 3381628 3713470 4227035 4424560 5198858 5917849 5941552 6763256 7426940 8454070 10397716 11835698 12997145 13526512 14853880 16908140 20795432 23671396 25994290 29589245 29707760 33816280 39734129 41590864 47342792 51988580 59178490 67632560 79468258 94685584 103977160 118356980 158936516 198670645 207954320 236713960 278138903 317873032 397341290 473427920 556277806 635746064 794682580 1112555612 1390694515 1589365160 2225111224 2781389030 3178730320 4450222448 5562778060 11125556120 22251112240