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2245105008 = 2432103229661
BaseRepresentation
bin1000010111010001…
…1001010101110000
312210110120011002100
42011310121111300
514044221330013
61010440220400
7106431035436
oct20564312560
95713504070
102245105008
11a52337693
12527a6a700
1329a194a03
1417425cd56
15d217b473
hex85d19570

2245105008 has 120 divisors (see below), whose sum is σ = 6381521120. Its totient is φ = 736750080.

The previous prime is 2245105001. The next prime is 2245105013. The reversal of 2245105008 is 8005015422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245105001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396198 + ... + 3396858.

Almost surely, 22245105008 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 2245105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190760560).

2245105008 is an abundant number, since it is smaller than the sum of its proper divisors (4136416112).

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

2245105008 is a wasteful number, since it uses less digits than its factorization.

2245105008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2245105008 is about 47382.5390624015. The cubic root of 2245105008 is about 1309.4197472935.

The spelling of 2245105008 in words is "two billion, two hundred forty-five million, one hundred five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 229 309 412 458 618 661 687 824 916 927 1236 1322 1374 1648 1832 1854 1983 2061 2472 2644 2748 3664 3708 3966 4122 4944 5288 5496 5949 7416 7932 8244 10576 10992 11898 14832 15864 16488 23587 23796 31728 32976 47174 47592 68083 70761 94348 95184 136166 141522 151369 188696 204249 212283 272332 283044 302738 377392 408498 424566 454107 544664 566088 605476 612747 816996 849132 908214 1089328 1132176 1210952 1225494 1362321 1633992 1698264 1816428 2421904 2450988 2724642 3267984 3396528 3632856 4901976 5449284 7265712 9803952 10898568 15591007 21797136 31182014 46773021 62364028 93546042 124728056 140319063 187092084 249456112 280638126 374184168 561276252 748368336 1122552504 2245105008