Search a number
-
+
1222201600 = 2852192232
BaseRepresentation
bin100100011011001…
…0101000100000000
310011011210021101221
41020312111010000
510000340422400
6321140004424
742200353654
oct11066250400
93134707357
101222201600
115779a0174
122a1390714
13166298a19
14b846ca64
1572473c1a
hex48d95100

1222201600 has 243 divisors, whose sum is σ = 3337587813. Its totient is φ = 443013120.

The previous prime is 1222201537. The next prime is 1222201613. The reversal of 1222201600 is 61022221.

The square root of 1222201600 is 34960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 439992576 + 782209024 = 20976^2 + 27968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53139189 + ... + 53139211.

Almost surely, 21222201600 is an apocalyptic number.

1222201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1222201600 is the 34960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222201600

1222201600 is an abundant number, since it is smaller than the sum of its proper divisors (2115386213).

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

1222201600 is an equidigital number, since it uses as much as digits as its factorization.

1222201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 1222201600 is about 1069.1720966479.

Multiplying 1222201600 by its sum of digits (16), we get a square (19555225600 = 1398402).

1222201600 divided by its sum of digits (16) gives a square (76387600 = 87402).

Adding to 1222201600 its reverse (61022221), we get a palindrome (1283223821).

The spelling of 1222201600 in words is "one billion, two hundred twenty-two million, two hundred one thousand, six hundred".