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2151304400 = 24527768323
BaseRepresentation
bin1000000000111010…
…0100110011010000
312112221001120211202
42000032210303100
513401213220100
6553245530332
7104211533330
oct20016446320
95487046752
102151304400
11a0439a923
125005739a8
13283911bab
14165a030c0
15c8ced7d5
hex803a4cd0

2151304400 has 60 divisors (see below), whose sum is σ = 5906874912. Its totient is φ = 737589120.

The previous prime is 2151304387. The next prime is 2151304409. The reversal of 2151304400 is 44031512.

It is a super-2 number, since 2×21513044002 = 9256221242918720000, which contains 22 as substring.

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 (2151304409) 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 11 ways as a sum of consecutive naturals, for example, 381362 + ... + 386961.

Almost surely, 22151304400 is an apocalyptic number.

2151304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151304400 is an abundant number, since it is smaller than the sum of its proper divisors (3755570512).

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

2151304400 is a wasteful number, since it uses less digits than its factorization.

2151304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768348 (or 768337 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2151304400 is about 46382.1560516542. The cubic root of 2151304400 is about 1290.9238419623.

Adding to 2151304400 its reverse (44031512), we get a palindrome (2195335912).

The spelling of 2151304400 in words is "two billion, one hundred fifty-one million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 768323 1536646 3073292 3841615 5378261 6146584 7683230 10756522 12293168 15366460 19208075 21513044 26891305 30732920 38416150 43026088 53782610 61465840 76832300 86052176 107565220 134456525 153664600 215130440 268913050 307329200 430260880 537826100 1075652200 2151304400