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2214277000 = 235313712399
BaseRepresentation
bin1000001111111011…
…0010111110001000
312201022112221000021
42003332302332020
514013323331000
61003415350224
7105605021035
oct20376627610
95638487007
102214277000
11a369a10a1
12519682374
1329398cba0
1417011638c
15ce5dc11a
hex83fb2f88

2214277000 has 128 divisors (see below), whose sum is σ = 5660928000. Its totient is φ = 805728000.

The previous prime is 2214276989. The next prime is 2214277001. The reversal of 2214277000 is 7724122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2214277001) 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 31 ways as a sum of consecutive naturals, for example, 921801 + ... + 924199.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 22214277000 is an apocalyptic number.

2214277000 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 2214277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

2214277000 is an abundant number, since it is smaller than the sum of its proper divisors (3446651000).

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

2214277000 is a wasteful number, since it uses less digits than its factorization.

2214277000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 2214277000 is about 47056.1048111720. The cubic root of 2214277000 is about 1303.3987985394.

The spelling of 2214277000 in words is "two billion, two hundred fourteen million, two hundred seventy-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 125 130 142 200 250 260 284 325 355 500 520 568 650 710 923 1000 1300 1420 1625 1775 1846 2399 2600 2840 3250 3550 3692 4615 4798 6500 7100 7384 8875 9230 9596 11995 13000 14200 17750 18460 19192 23075 23990 31187 35500 36920 46150 47980 59975 62374 71000 92300 95960 115375 119950 124748 155935 170329 184600 230750 239900 249496 299875 311870 340658 461500 479800 599750 623740 681316 779675 851645 923000 1199500 1247480 1362632 1559350 1703290 2214277 2399000 3118700 3406580 3898375 4258225 4428554 6237400 6813160 7796750 8516450 8857108 11071385 15593500 17032900 17714216 21291125 22142770 31187000 34065800 42582250 44285540 55356925 85164500 88571080 110713850 170329000 221427700 276784625 442855400 553569250 1107138500 2214277000