Search a number
-
+
1228184400 = 243521023487
BaseRepresentation
bin100100100110100…
…1001101101010000
310011121001020021010
41021031021231100
510003403400100
6321512130520
742302252352
oct11115115520
93147036233
101228184400
11580307133
122a3396a40
131675b1c41
14b91890d2
1572c56750
hex49349b50

1228184400 has 60 divisors (see below), whose sum is σ = 3934287872. Its totient is φ = 327515520.

The previous prime is 1228184389. The next prime is 1228184407. The reversal of 1228184400 is 44818221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228184407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 510544 + ... + 512943.

Almost surely, 21228184400 is an apocalyptic number.

1228184400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1228184400 is an abundant number, since it is smaller than the sum of its proper divisors (2706103472).

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

1228184400 is a wasteful number, since it uses less digits than its factorization.

1228184400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023508 (or 1023497 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1228184400 is about 35045.4619030767. The cubic root of 1228184400 is about 1070.9138261379.

The spelling of 1228184400 in words is "one billion, two hundred twenty-eight million, one hundred eighty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1023487 2046974 3070461 4093948 5117435 6140922 8187896 10234870 12281844 15352305 16375792 20469740 24563688 25587175 30704610 40939480 49127376 51174350 61409220 76761525 81878960 102348700 122818440 153523050 204697400 245636880 307046100 409394800 614092200 1228184400