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1214119900 = 225279717881
BaseRepresentation
bin100100001011101…
…1111111111011100
310010121120200101201
41020113133333130
54441303314100
6320250445244
742041564110
oct11027377734
93117520351
101214119900
11573380284
1229a733824
131646c9356
14b7367740
15718c936a
hex485dffdc

1214119900 has 72 divisors (see below), whose sum is σ = 3042228896. Its totient is φ = 411955200.

The previous prime is 1214119871. The next prime is 1214119903. The reversal of 1214119900 is 99114121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214119903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58960 + ... + 76840.

Almost surely, 21214119900 is an apocalyptic number.

1214119900 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 1214119900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521114448).

1214119900 is an abundant number, since it is smaller than the sum of its proper divisors (1828108996).

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

1214119900 is a wasteful number, since it uses less digits than its factorization.

1214119900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 1214119900 is about 34844.2233375921. The cubic root of 1214119900 is about 1066.8102812273.

It can be divided in two parts, 12141 and 19900, that added together give a square (32041 = 1792).

The spelling of 1214119900 in words is "one billion, two hundred fourteen million, one hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4850 6790 9700 13580 16975 17881 33950 35762 67900 71524 89405 125167 178810 250334 357620 447025 500668 625835 894050 1251670 1734457 1788100 2503340 3129175 3468914 6258350 6937828 8672285 12141199 12516700 17344570 24282398 34689140 43361425 48564796 60705995 86722850 121411990 173445700 242823980 303529975 607059950 1214119900