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2214627312 = 2432313115313
BaseRepresentation
bin1000010000000000…
…1000011111110000
312201100012201112210
42010000020133300
514013421033222
61003431052120
7105611010252
oct20400103760
95640181483
102214627312
11a37110307
12519811040
13293a83481
141701a7cd2
15ce65ad0c
hex840087f0

2214627312 has 80 divisors (see below), whose sum is σ = 6015829248. Its totient is φ = 700677120.

The previous prime is 2214627301. The next prime is 2214627319. The reversal of 2214627312 is 2137264122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214627312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214627319) 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, 136968 + ... + 152280.

Almost surely, 22214627312 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 2214627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007914624).

2214627312 is an abundant number, since it is smaller than the sum of its proper divisors (3801201936).

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

2214627312 is a wasteful number, since it uses less digits than its factorization.

2214627312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 15472 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2214627312 is about 47059.8269440082. The cubic root of 2214627312 is about 1303.4675301033.

The spelling of 2214627312 in words is "two billion, two hundred fourteen million, six hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 131 138 184 262 276 368 393 524 552 786 1048 1104 1572 2096 3013 3144 6026 6288 9039 12052 15313 18078 24104 30626 36156 45939 48208 61252 72312 91878 122504 144624 183756 245008 352199 367512 704398 735024 1056597 1408796 2006003 2113194 2817592 4012006 4226388 5635184 6018009 8024012 8452776 12036018 16048024 16905552 24072036 32096048 46138069 48144072 92276138 96288144 138414207 184552276 276828414 369104552 553656828 738209104 1107313656 2214627312