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2249220376 = 231331798831
BaseRepresentation
bin1000011000010000…
…0110000100011000
312210202022020022101
42012010012010120
514101300023001
61011104333144
7106511025544
oct20604060430
95722266271
102249220376
11a54698617
125293141b4
1329aca5c40
14174a10a24
15d26e0a01
hex86106118

2249220376 has 64 divisors (see below), whose sum is σ = 4748083200. Its totient is φ = 991785600.

The previous prime is 2249220359. The next prime is 2249220401. The reversal of 2249220376 is 6730229422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250281 + ... + 259111.

It is an arithmetic number, because the mean of its divisors is an integer number (74188800).

Almost surely, 22249220376 is an apocalyptic number.

2249220376 is a gapful number since it is divisible by the number (26) 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 2249220376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374041600).

2249220376 is an abundant number, since it is smaller than the sum of its proper divisors (2498862824).

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

2249220376 is a wasteful number, since it uses less digits than its factorization.

2249220376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2249220376 is about 47425.9462319941. The cubic root of 2249220376 is about 1310.2193319991.

Adding to 2249220376 its reverse (6730229422), we get a palindrome (8979449798).

The spelling of 2249220376 in words is "two billion, two hundred forty-nine million, two hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 52 62 79 104 124 158 248 316 403 632 806 1027 1612 2054 2449 3224 4108 4898 8216 8831 9796 17662 19592 31837 35324 63674 70648 114803 127348 229606 254696 273761 459212 547522 697649 918424 1095044 1395298 2190088 2790596 3558893 5581192 7117786 9069437 14235572 18138874 21627119 28471144 36277748 43254238 72555496 86508476 173016952 281152547 562305094 1124610188 2249220376