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1214949400 = 235272273823
BaseRepresentation
bin100100001101010…
…1010100000011000
310010200010211020221
41020122222200120
54442011340100
6320320325424
742051620350
oct11032524030
93120124227
101214949400
11573897515
1229aa73874
13164929a92
14b7501b60
15719e001a
hex486aa818

1214949400 has 96 divisors (see below), whose sum is σ = 3243363840. Its totient is φ = 414610560.

The previous prime is 1214949361. The next prime is 1214949409. The reversal of 1214949400 is 49494121.

It is a super-2 number, since 2×12149494002 = 2952204089120720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214949409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 315889 + ... + 319711.

It is an arithmetic number, because the mean of its divisors is an integer number (33785040).

Almost surely, 21214949400 is an apocalyptic number.

1214949400 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 1214949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621681920).

1214949400 is an abundant number, since it is smaller than the sum of its proper divisors (2028414440).

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

1214949400 is a wasteful number, since it uses less digits than its factorization.

1214949400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1214949400 is about 34856.1242825418. The cubic root of 1214949400 is about 1067.0531780713.

The spelling of 1214949400 in words is "one billion, two hundred fourteen million, nine hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 227 280 350 454 700 908 1135 1400 1589 1816 2270 3178 3823 4540 5675 6356 7646 7945 9080 11350 12712 15292 15890 19115 22700 26761 30584 31780 38230 39725 45400 53522 63560 76460 79450 95575 107044 133805 152920 158900 191150 214088 267610 317800 382300 535220 669025 764600 867821 1070440 1338050 1735642 2676100 3471284 4339105 5352200 6074747 6942568 8678210 12149494 17356420 21695525 24298988 30373735 34712840 43391050 48597976 60747470 86782100 121494940 151868675 173564200 242989880 303737350 607474700 1214949400