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2245563108 = 2233194012729
BaseRepresentation
bin1000010111011000…
…1001001011100100
312210111102102111000
42011312021023210
514044331004413
61010454113300
7106434654135
oct20566111344
95714372430
102245563108
11a5261a888
1252804b830
1329a2c5389
1417433bc8c
15d221c073
hex85d892e4

2245563108 has 96 divisors (see below), whose sum is σ = 6145776000. Its totient is φ = 707097600.

The previous prime is 2245563107. The next prime is 2245563113. The reversal of 2245563108 is 8013655422.

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 (2245563101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821488 + ... + 824216.

It is an arithmetic number, because the mean of its divisors is an integer number (64018500).

Almost surely, 22245563108 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 2245563108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072888000).

2245563108 is an abundant number, since it is smaller than the sum of its proper divisors (3900212892).

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

2245563108 is a wasteful number, since it uses less digits than its factorization.

2245563108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2245563108 is about 47387.3728750603. The cubic root of 2245563108 is about 1309.5088009444.

The spelling of 2245563108 in words is "two billion, two hundred forty-five million, five hundred sixty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 401 513 684 802 1026 1203 1604 2052 2406 2729 3609 4812 5458 7218 7619 8187 10827 10916 14436 15238 16374 21654 22857 24561 30476 32748 43308 45714 49122 51851 68571 73683 91428 98244 103702 137142 147366 155553 205713 207404 274284 294732 311106 411426 466659 622212 822852 933318 1094329 1399977 1866636 2188658 2799954 3282987 4377316 5599908 6565974 9848961 13131948 19697922 20792251 29546883 39395844 41584502 59093766 62376753 83169004 118187532 124753506 187130259 249507012 374260518 561390777 748521036 1122781554 2245563108