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2047226368 = 29115961101
BaseRepresentation
bin111101000000110…
…0011001000000000
312021200012212121211
41322001203020000
513143042220433
6535051055504
7101506064665
oct17201431000
95250185554
102047226368
11960673520
12491741594
132681a1165
14155c6da6c
15beae08cd
hex7a063200

2047226368 has 160 divisors (see below), whose sum is σ = 4658005440. Its totient is φ = 890880000.

The previous prime is 2047226351. The next prime is 2047226369. The reversal of 2047226368 is 8636227402.

It is a super-2 number, since 2×20472263682 = 8382271603668942848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2047226368.

It is not an unprimeable number, because it can be changed into a prime (2047226369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20269518 + ... + 20269618.

It is an arithmetic number, because the mean of its divisors is an integer number (29112534).

Almost surely, 22047226368 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 2047226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329002720).

2047226368 is an abundant number, since it is smaller than the sum of its proper divisors (2610779072).

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

2047226368 is a wasteful number, since it uses less digits than its factorization.

2047226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2047226368 is about 45246.2856818104. The cubic root of 2047226368 is about 1269.7609172364.

The spelling of 2047226368 in words is "two billion, forty-seven million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 61 64 88 101 118 122 128 176 202 236 244 256 352 404 472 488 512 649 671 704 808 944 976 1111 1298 1342 1408 1616 1888 1952 2222 2596 2684 2816 3232 3599 3776 3904 4444 5192 5368 5632 5959 6161 6464 7198 7552 7808 8888 10384 10736 11918 12322 12928 14396 15104 15616 17776 20768 21472 23836 24644 25856 28792 30208 31232 35552 39589 41536 42944 47672 49288 51712 57584 65549 67771 71104 79178 83072 85888 95344 98576 115168 131098 135542 142208 158356 166144 171776 190688 197152 230336 262196 271084 284416 316712 332288 343552 363499 381376 394304 460672 524392 542168 568832 633424 726998 762752 788608 921344 1048784 1084336 1266848 1453996 1525504 1577216 1842688 2097568 2168672 2533696 2907992 3051008 3154432 3998489 4195136 4337344 5067392 5815984 7996978 8390272 8674688 10134784 11631968 15993956 16780544 17349376 20269568 23263936 31987912 33561088 34698752 46527872 63975824 93055744 127951648 186111488 255903296 511806592 1023613184 2047226368