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22000231120 = 2457317123931
BaseRepresentation
bin10100011111010100…
…001110001011010000
32002210020022112111211
4110133110032023100
5330024024343440
614035021145504
71406120610340
oct243724161320
962706275454
1022000231120
11936a61429a
12431b9bb294
1320c7c0324a
1410c9c00d20
1588b676eea
hex51f50e2d0

22000231120 has 80 divisors (see below), whose sum is σ = 58642639488. Its totient is φ = 7519080960.

The previous prime is 22000231079. The next prime is 22000231129. The reversal of 22000231120 is 2113200022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22000231120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000231129) 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, 115555 + ... + 239485.

Almost surely, 222000231120 is an apocalyptic number.

22000231120 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 22000231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29321319744).

22000231120 is an abundant number, since it is smaller than the sum of its proper divisors (36642408368).

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

22000231120 is a wasteful number, since it uses less digits than its factorization.

22000231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124268 (or 124262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22000231120 its reverse (2113200022), we get a palindrome (24113431142).

The spelling of 22000231120 in words is "twenty-two billion, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 1268 1585 2219 2536 3170 4438 5072 6340 8876 11095 12680 17752 22190 25360 35504 44380 88760 123931 177520 247862 495724 619655 867517 991448 1239310 1735034 1982896 2478620 3470068 4337585 4957240 6940136 8675170 9914480 13880272 17350340 34700680 39286127 69401360 78572254 157144508 196430635 275002889 314289016 392861270 550005778 628578032 785722540 1100011556 1375014445 1571445080 2200023112 2750028890 3142890160 4400046224 5500057780 11000115560 22000231120