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2151212000 = 2553776829
BaseRepresentation
bin1000000000111000…
…1110001111100000
312112220212220002112
42000032032033200
513401202241000
6553243534452
7104211000050
oct20016161740
95486786075
102151212000
11a04337463
1250052a428
132838abb12
141659bb560
15c8cd1235
hex8038e3e0

2151212000 has 96 divisors (see below), whose sum is σ = 6040681920. Its totient is φ = 737548800.

The previous prime is 2151211999. The next prime is 2151212009. The reversal of 2151212000 is 2121512.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10415 + ... + 66414.

It is an arithmetic number, because the mean of its divisors is an integer number (62923770).

Almost surely, 22151212000 is an apocalyptic number.

2151212000 is a gapful number since it is divisible by the number (20) 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 2151212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020340960).

2151212000 is an abundant number, since it is smaller than the sum of its proper divisors (3889469920).

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

2151212000 is an equidigital number, since it uses as much as digits as its factorization.

2151212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76861 (or 76843 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2151212000 is about 46381.1599682457. The cubic root of 2151212000 is about 1290.9053596761.

Adding to 2151212000 its reverse (2121512), we get a palindrome (2153333512).

The spelling of 2151212000 in words is "two billion, one hundred fifty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 76829 153658 307316 384145 537803 614632 768290 1075606 1229264 1536580 1920725 2151212 2458528 2689015 3073160 3841450 4302424 5378030 6146320 7682900 8604848 9603625 10756060 12292640 13445075 15365800 17209696 19207250 21512120 26890150 30731600 38414500 43024240 53780300 61463200 67225375 76829000 86048480 107560600 134450750 153658000 215121200 268901500 307316000 430242400 537803000 1075606000 2151212000