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22212221440 = 29579109831
BaseRepresentation
bin10100101011111100…
…111001101000000000
32010100000012202120011
4110223330321220000
5330442312041230
614112032554304
71414303524043
oct245374715000
963300182504
1022212221440
119469246802
12437a9b2994
13212cac7cc6
14110a024c5a
158a009de2a
hex52bf39a00

22212221440 has 80 divisors (see below), whose sum is σ = 53931905280. Its totient is φ = 8772341760.

The previous prime is 22212221429. The next prime is 22212221443. The reversal of 22212221440 is 4412221222.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22212221443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147325 + ... + 257155.

It is an arithmetic number, because the mean of its divisors is an integer number (674148816).

Almost surely, 222212221440 is an apocalyptic number.

22212221440 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 22212221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26965952640).

22212221440 is an abundant number, since it is smaller than the sum of its proper divisors (31719683840).

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

22212221440 is an equidigital number, since it uses as much as digits as its factorization.

22212221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109933 (or 109917 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22212221440 its reverse (4412221222), we get a palindrome (26624442662).

The spelling of 22212221440 in words is "twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1264 1280 1580 2528 2560 3160 5056 6320 10112 12640 20224 25280 40448 50560 101120 109831 202240 219662 439324 549155 878648 1098310 1757296 2196620 3514592 4393240 7029184 8676649 8786480 14058368 17353298 17572960 28116736 34706596 35145920 43383245 56233472 69413192 70291840 86766490 138826384 140583680 173532980 277652768 281167360 347065960 555305536 694131920 1110611072 1388263840 2221222144 2776527680 4442444288 5553055360 11106110720 22212221440