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1222132200 = 233523755051
BaseRepresentation
bin100100011011000…
…0100000111101000
310011011122202012120
41020312010013220
510000331212300
6321134311240
742166644432
oct11066040750
93134582176
101222132200
11577953013
122a1358520
13166273263
14b8451652
157245d3a0
hex48d841e8

1222132200 has 96 divisors (see below), whose sum is σ = 3891075360. Its totient is φ = 317088000.

The previous prime is 1222132199. The next prime is 1222132217. The reversal of 1222132200 is 22312221.

It is a happy number.

It is a super-2 number, since 2×12221322002 = 2987214228553680000, which contains 22 as substring.

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 1222132200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5326 + ... + 49725.

It is an arithmetic number, because the mean of its divisors is an integer number (40532035).

Almost surely, 21222132200 is an apocalyptic number.

1222132200 is a gapful number since it is divisible by the number (10) 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 1222132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945537680).

1222132200 is an abundant number, since it is smaller than the sum of its proper divisors (2668943160).

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

1222132200 is a wasteful number, since it uses less digits than its factorization.

1222132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55107 (or 55098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1222132200 is about 34959.0074229804. The cubic root of 1222132200 is about 1069.1518594115.

Adding to 1222132200 its reverse (22312221), we get a palindrome (1244444421).

The spelling of 1222132200 in words is "one billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 55051 110102 165153 220204 275255 330306 440408 550510 660612 825765 1101020 1321224 1376275 1651530 2036887 2202040 2752550 3303060 4073774 4128825 5505100 6110661 6606120 8147548 8257650 10184435 11010200 12221322 16295096 16515300 20368870 24442644 30553305 33030600 40737740 48885288 50922175 61106610 81475480 101844350 122213220 152766525 203688700 244426440 305533050 407377400 611066100 1222132200