Search a number
-
+
1222712400 = 2435271311197
BaseRepresentation
bin100100011100001…
…0001110001010000
310011012202020002110
41020320101301100
510001003244100
6321154545320
742204612120
oct11070216120
93135666073
101222712400
11578209a18
122a1598240
13166417380
14b8562c80
1572525250
hex48e11c50

1222712400 has 240 divisors, whose sum is σ = 4821052544. Its totient is φ = 257955840.

The previous prime is 1222712399. The next prime is 1222712411. The reversal of 1222712400 is 42172221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12227124002 = 2990051226227520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103602 + ... + 114798.

Almost surely, 21222712400 is an apocalyptic number.

1222712400 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 1222712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410526272).

1222712400 is an abundant number, since it is smaller than the sum of its proper divisors (3598340144).

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

1222712400 is a wasteful number, since it uses less digits than its factorization.

1222712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1222712400 is about 34967.3047288463. The cubic root of 1222712400 is about 1069.3210238085.

Adding to 1222712400 its reverse (42172221), we get a palindrome (1264884621).

The spelling of 1222712400 in words is "one billion, two hundred twenty-two million, seven hundred twelve thousand, four hundred".