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1221434300 = 22527122423
BaseRepresentation
bin100100011001101…
…1001101110111100
310011010100021212102
41020303121232330
510000141344200
6321111324232
742161006642
oct11063315674
93133307772
101221434300
11577516739
122a1080678
1316608a6b8
14b830d192
15723716d5
hex48cd9bbc

1221434300 has 54 divisors (see below), whose sum is σ = 2689478904. Its totient is φ = 481493600.

The previous prime is 1221434273. The next prime is 1221434303. The reversal of 1221434300 is 34341221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221434303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 502889 + ... + 505311.

Almost surely, 21221434300 is an apocalyptic number.

1221434300 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 1221434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344739452).

1221434300 is an abundant number, since it is smaller than the sum of its proper divisors (1468044604).

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

1221434300 is a wasteful number, since it uses less digits than its factorization.

1221434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1221434300 is about 34949.0243068387. The cubic root of 1221434300 is about 1068.9483071936.

Adding to 1221434300 its reverse (34341221), we get a palindrome (1255775521).

The spelling of 1221434300 in words is "one billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 2423 3550 4846 5041 7100 9692 10082 12115 20164 24230 25205 48460 50410 60575 100820 121150 126025 172033 242300 252050 344066 504100 688132 860165 1720330 3440660 4300825 8601650 12214343 17203300 24428686 48857372 61071715 122143430 244286860 305358575 610717150 1221434300