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2235014000 = 24534792333
BaseRepresentation
bin1000010100110111…
…1001101101110000
312202202120110211022
42011031321231300
514034130422000
61005440035012
7106246206542
oct20515715560
95682513738
102235014000
11a4767510a
12524602a68
132980708bb
14172b93692
15d1336585
hex85379b70

2235014000 has 80 divisors (see below), whose sum is σ = 5417867520. Its totient is φ = 891756800.

The previous prime is 2235013969. The next prime is 2235014009. The reversal of 2235014000 is 4105322.

2235014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2235014000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235014009) 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, 956834 + ... + 959166.

It is an arithmetic number, because the mean of its divisors is an integer number (67723344).

Almost surely, 22235014000 is an apocalyptic number.

2235014000 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 2235014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708933760).

2235014000 is an abundant number, since it is smaller than the sum of its proper divisors (3182853520).

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

2235014000 is a wasteful number, since it uses less digits than its factorization.

2235014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2235014000 is about 47275.9346814000. The cubic root of 2235014000 is about 1307.4549971288.

Adding to 2235014000 its reverse (4105322), we get a palindrome (2239119322).

The spelling of 2235014000 in words is "two billion, two hundred thirty-five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 479 500 958 1000 1916 2000 2333 2395 3832 4666 4790 7664 9332 9580 11665 11975 18664 19160 23330 23950 37328 38320 46660 47900 58325 59875 93320 95800 116650 119750 186640 191600 233300 239500 291625 466600 479000 583250 933200 958000 1117507 1166500 2235014 2333000 4470028 4666000 5587535 8940056 11175070 17880112 22350140 27937675 44700280 55875350 89400560 111750700 139688375 223501400 279376750 447002800 558753500 1117507000 2235014000