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2266002216 = 23351768567
BaseRepresentation
bin1000011100010000…
…0111001100101000
312211220212211200000
42013010013030220
514120044032331
61012504143000
7110103462312
oct20704071450
95756784600
102266002216
11a63110005
12532a67a60
132a160061a
14176d3c7b2
15d3e080e6
hex87107328

2266002216 has 96 divisors (see below), whose sum is σ = 6738863040. Its totient is φ = 710892288.

The previous prime is 2266002209. The next prime is 2266002239. The reversal of 2266002216 is 6122006622.

2266002216 is a `hidden beast` number, since 2 + 26 + 600 + 22 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2266002216.

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, 1236 + ... + 67331.

It is an arithmetic number, because the mean of its divisors is an integer number (70196490).

Almost surely, 22266002216 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 2266002216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369431520).

2266002216 is an abundant number, since it is smaller than the sum of its proper divisors (4472860824).

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

2266002216 is a wasteful number, since it uses less digits than its factorization.

2266002216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68605 (or 68589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2266002216 is about 47602.5442177201. The cubic root of 2266002216 is about 1313.4698555689.

Adding to 2266002216 its reverse (6122006622), we get a palindrome (8388008838).

The spelling of 2266002216 in words is "two billion, two hundred sixty-six million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 8262 11016 16524 33048 68567 137134 205701 274268 411402 548536 617103 822804 1165639 1234206 1645608 1851309 2331278 2468412 3496917 3702618 4662556 4936824 5553927 6993834 7405236 9325112 10490751 11107854 13987668 14810472 16661781 20981502 22215708 27975336 31472253 33323562 41963004 44431416 62944506 66647124 83926008 94416759 125889012 133294248 188833518 251778024 283250277 377667036 566500554 755334072 1133001108 2266002216