Search a number
-
+
1229904900 = 223252721672
BaseRepresentation
bin100100101001110…
…1101110000000100
310011201021122100100
41021103231300010
510004323424100
6322013044100
742323006400
oct11123556004
93151248310
101229904900
11581281834
122a3a86630
13167a650a3
14b94b6100
1572e96400
hex494edc04

1229904900 has 243 divisors, whose sum is σ = 4511481429. Its totient is φ = 279437760.

The previous prime is 1229904889. The next prime is 1229904913. The reversal of 1229904900 is 94099221.

The square root of 1229904900 is 35070.

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., 442765764 + 787139136 = 21042^2 + 28056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7364617 + ... + 7364783.

Almost surely, 21229904900 is an apocalyptic number.

1229904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1229904900 is the 35070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229904900

1229904900 is an abundant number, since it is smaller than the sum of its proper divisors (3281576529).

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

1229904900 is a wasteful number, since it uses less digits than its factorization.

1229904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 1229904900 is about 1071.4136554114.

Multiplying 1229904900 by its sum of digits (36), we get a square (44276576400 = 2104202).

1229904900 divided by its sum of digits (36) gives a square (34164025 = 58452).

Multiplying 1229904900 by its product of nonzero digits (11664), we get a square (14345610753600 = 37875602).

The spelling of 1229904900 in words is "one billion, two hundred twenty-nine million, nine hundred four thousand, nine hundred".