Search a number
-
+
22200114120 = 23351311412221
BaseRepresentation
bin10100101011001110…
…101101101111001000
32010022011102122102220
4110223032231233020
5330431212122440
614110521254040
71414065566532
oct245316555710
963264378386
1022200114120
119462427358
124376934320
13212a449202
141108592852
1589deab8d0
hex52b3adbc8

22200114120 has 64 divisors (see below), whose sum is σ = 67108789440. Its totient is φ = 5874835200.

The previous prime is 22200114113. The next prime is 22200114127. The reversal of 22200114120 is 2141100222.

It is an interprime number because it is at equal distance from previous prime (22200114113) and next prime (22200114127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22200114120.

It is not an unprimeable number, because it can be changed into a prime (22200114127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690391 + ... + 721830.

It is an arithmetic number, because the mean of its divisors is an integer number (1048574835).

Almost surely, 222200114120 is an apocalyptic number.

22200114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200114120 is an abundant number, since it is smaller than the sum of its proper divisors (44908675320).

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

22200114120 is a wasteful number, since it uses less digits than its factorization.

22200114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412366 (or 1412362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22200114120 its reverse (2141100222), we get a palindrome (24341214342).

The spelling of 22200114120 in words is "twenty-two billion, two hundred million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 1412221 2824442 4236663 5648884 7061105 8473326 11297768 14122210 16946652 21183315 28244420 33893304 42366630 56488840 84733260 169466520 185000951 370001902 555002853 740003804 925004755 1110005706 1480007608 1850009510 2220011412 2775014265 3700019020 4440022824 5550028530 7400038040 11100057060 22200114120