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2234221000 = 2353111012011
BaseRepresentation
bin1000010100101011…
…1000000111001000
312202201002012000221
42011022320013020
514033430033000
61005411035424
7106236364564
oct20512700710
95681065027
102234221000
11a47183340
1252429bb74
13297b5397b
14172a286a4
15d122b61a
hex852b81c8

2234221000 has 128 divisors (see below), whose sum is σ = 5762689920. Its totient is φ = 804000000.

The previous prime is 2234220997. The next prime is 2234221007. The reversal of 2234221000 is 1224322.

It is not an unprimeable number, because it can be changed into a prime (2234221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109995 + ... + 1112005.

It is an arithmetic number, because the mean of its divisors is an integer number (45021015).

Almost surely, 22234221000 is an apocalyptic number.

2234221000 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 2234221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881344960).

2234221000 is an abundant number, since it is smaller than the sum of its proper divisors (3528468920).

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

2234221000 is a wasteful number, since it uses less digits than its factorization.

2234221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2234221000 is about 47267.5470063764. The cubic root of 2234221000 is about 1307.3003471714.

Adding to 2234221000 its reverse (1224322), we get a palindrome (2235445322).

It can be divided in two parts, 223422 and 1000, that added together give a palindrome (224422).

The spelling of 2234221000 in words is "two billion, two hundred thirty-four million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2011 2020 2200 2222 2525 2750 4022 4040 4444 5050 5500 5555 8044 8888 10055 10100 11000 11110 12625 16088 20110 20200 22121 22220 25250 27775 40220 44242 44440 50275 50500 55550 80440 88484 100550 101000 110605 111100 138875 176968 201100 203111 221210 222200 251375 277750 402200 406222 442420 502750 553025 555500 812444 884840 1005500 1015555 1106050 1111000 1624888 2011000 2031110 2212100 2234221 2765125 4062220 4424200 4468442 5077775 5530250 8124440 8936884 10155550 11060500 11171105 17873768 20311100 22121000 22342210 25388875 40622200 44684420 50777750 55855525 89368840 101555500 111711050 203111000 223422100 279277625 446844200 558555250 1117110500 2234221000