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22122031440 = 2435471961173
BaseRepresentation
bin10100100110100100…
…110110100101010000
32010002201111122010210
4110212210312211100
5330301220001230
614055051524120
71412130110325
oct244644664520
963081448123
1022122031440
119422345713
124354759640
13211720a742
1410dc068b4c
158971d5eb0
hex526936950

22122031440 has 80 divisors (see below), whose sum is σ = 70037445888. Its totient is φ = 5773690368.

The previous prime is 22122031423. The next prime is 22122031457. The reversal of 22122031440 is 4413022122.

It is an interprime number because it is at equal distance from previous prime (22122031423) and next prime (22122031457).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969307 + ... + 991866.

Almost surely, 222122031440 is an apocalyptic number.

22122031440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122031440 is an abundant number, since it is smaller than the sum of its proper divisors (47915414448).

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

22122031440 is a wasteful number, since it uses less digits than its factorization.

22122031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961236 (or 1961230 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22122031440 its reverse (4413022122), we get a palindrome (26535053562).

The spelling of 22122031440 in words is "twenty-two billion, one hundred twenty-two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 1961173 3922346 5883519 7844692 9805865 11767038 15689384 19611730 23534076 29417595 31378768 39223460 47068152 58835190 78446920 92175131 94136304 117670380 156893840 184350262 235340760 276525393 368700524 460875655 470681520 553050786 737401048 921751310 1106101572 1382626965 1474802096 1843502620 2212203144 2765253930 3687005240 4424406288 5530507860 7374010480 11061015720 22122031440