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2214674820 = 2232522735413
BaseRepresentation
bin1000010000000001…
…0100000110000100
312201100022010201100
42010000110012010
514013424043240
61003432100100
7105611265621
oct20400240604
95640263640
102214674820
11a37142a76
12519834630
13293a9bc97
141701bb348
15ce669e30
hex84014184

2214674820 has 72 divisors (see below), whose sum is σ = 6722044056. Its totient is φ = 590211072.

The previous prime is 2214674809. The next prime is 2214674821. The reversal of 2214674820 is 284764122.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 1885470084 = 18144^2 + 43422^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2214674821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406434 + ... + 411846.

It is an arithmetic number, because the mean of its divisors is an integer number (93361723).

Almost surely, 22214674820 is an apocalyptic number.

2214674820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214674820 is an abundant number, since it is smaller than the sum of its proper divisors (4507369236).

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

2214674820 is a wasteful number, since it uses less digits than its factorization.

2214674820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2214674820 is about 47060.3317030384. The cubic root of 2214674820 is about 1303.4768506621.

The spelling of 2214674820 in words is "two billion, two hundred fourteen million, six hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2273 4546 5413 6819 9092 10826 11365 13638 16239 20457 21652 22730 27065 27276 32478 34095 40914 45460 48717 54130 64956 68190 81195 81828 97434 102285 108260 136380 162390 194868 204570 243585 324780 409140 487170 974340 12303749 24607498 36911247 49214996 61518745 73822494 110733741 123037490 147644988 184556235 221467482 246074980 369112470 442934964 553668705 738224940 1107337410 2214674820