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2141236900 = 2252111946579
BaseRepresentation
bin111111110100000…
…1010111010100100
312112020010002211101
41333220022322210
513341124040100
6552250045444
7104030133115
oct17750127244
95466102741
102141236900
119a9743a80
124b9119884
132817c86aa
1416454220c
15c7eb086a
hex7fa0aea4

2141236900 has 36 divisors (see below), whose sum is σ = 5068894320. Its totient is φ = 778631200.

The previous prime is 2141236897. The next prime is 2141236907. The reversal of 2141236900 is 96321412.

It is a super-2 number, since 2×21412369002 = 9169790923843220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141236907) 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 11 ways as a sum of consecutive naturals, for example, 972190 + ... + 974389.

It is an arithmetic number, because the mean of its divisors is an integer number (140802620).

Almost surely, 22141236900 is an apocalyptic number.

2141236900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141236900 is an abundant number, since it is smaller than the sum of its proper divisors (2927657420).

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

2141236900 is a wasteful number, since it uses less digits than its factorization.

2141236900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946604 (or 1946597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2141236900 is about 46273.5010562201. The cubic root of 2141236900 is about 1288.9069722933.

The spelling of 2141236900 in words is "two billion, one hundred forty-one million, two hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1946579 3893158 7786316 9732895 19465790 21412369 38931580 42824738 48664475 85649476 97328950 107061845 194657900 214123690 428247380 535309225 1070618450 2141236900