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1222201344 = 21237131093
BaseRepresentation
bin100100011011001…
…0101000000000000
310011011210021001110
41020312111000000
510000340420334
6321140003320
742200353140
oct11066250000
93134707043
101222201344
1157799aa61
122a1390540
13166298880
14b846c920
1572473ae9
hex48d95000

1222201344 has 208 divisors, whose sum is σ = 4014507392. Its totient is φ = 322043904.

The previous prime is 1222201339. The next prime is 1222201367. The reversal of 1222201344 is 4431022221.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×12222013442 = 2987552250550812672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1222201344.

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, 1117662 + ... + 1118754.

Almost surely, 21222201344 is an apocalyptic number.

1222201344 is a gapful number since it is divisible by the number (14) 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 1222201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007253696).

1222201344 is an abundant number, since it is smaller than the sum of its proper divisors (2792306048).

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

1222201344 is a wasteful number, since it uses less digits than its factorization.

1222201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

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

The square root of 1222201344 is about 34959.9963386726. The cubic root of 1222201344 is about 1069.1720219990.

Adding to 1222201344 its reverse (4431022221), we get a palindrome (5653223565).

It can be divided in two parts, 1222 and 201344, that added together give a triangular number (202566 = T636).

The spelling of 1222201344 in words is "one billion, two hundred twenty-two million, two hundred one thousand, three hundred forty-four".