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2214037836 = 2232434730431
BaseRepresentation
bin1000001111110111…
…1000100101001100
312201022002202221100
42003331320211030
514013243202321
61003410303100
7105603003543
oct20375704514
95638082840
102214037836
11a3684843a
12519587a90
1329390807a
1417009315a
15ce591326
hex83f7894c

2214037836 has 72 divisors (see below), whose sum is σ = 5848786944. Its totient is φ = 705489120.

The previous prime is 2214037829. The next prime is 2214037841. The reversal of 2214037836 is 6387304122.

It is a happy number.

2214037836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2214037836.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57541 + ... + 87971.

It is an arithmetic number, because the mean of its divisors is an integer number (81233152).

Almost surely, 22214037836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214037836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924393472).

2214037836 is an abundant number, since it is smaller than the sum of its proper divisors (3634749108).

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

2214037836 is a wasteful number, since it uses less digits than its factorization.

2214037836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30531 (or 30526 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2214037836 is about 47053.5634782319. The cubic root of 2214037836 is about 1303.3518701599.

The spelling of 2214037836 in words is "two billion, two hundred fourteen million, thirty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 258 282 387 423 516 564 774 846 1548 1692 2021 4042 6063 8084 12126 18189 24252 30431 36378 60862 72756 91293 121724 182586 273879 365172 547758 1095516 1308533 1430257 2617066 2860514 3925599 4290771 5234132 5721028 7851198 8581542 11776797 12872313 15702396 17163084 23553594 25744626 47107188 51489252 61501051 123002102 184503153 246004204 369006306 553509459 738012612 1107018918 2214037836