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2145414450 = 2352171944281
BaseRepresentation
bin111111111100000…
…0110110100110010
312112111222100100110
41333320012310302
513343211230300
6552515402150
7104110502424
oct17770066462
95474870313
102145414450
11a010376a3
124ba5b3356
1328262c00a
14164d0c814
15c8538550
hex7fe06d32

2145414450 has 96 divisors (see below), whose sum is σ = 5930245440. Its totient is φ = 510105600.

The previous prime is 2145414443. The next prime is 2145414533. The reversal of 2145414450 is 544145412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26310 + ... + 70590.

It is an arithmetic number, because the mean of its divisors is an integer number (61773390).

Almost surely, 22145414450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145414450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965122720).

2145414450 is an abundant number, since it is smaller than the sum of its proper divisors (3784830990).

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

2145414450 is a wasteful number, since it uses less digits than its factorization.

2145414450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44332 (or 44327 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2145414450 is about 46318.6188265583. The cubic root of 2145414450 is about 1289.7446462895.

Adding to 2145414450 its reverse (544145412), we get a palindrome (2689559862).

The spelling of 2145414450 in words is "two billion, one hundred forty-five million, four hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1425 1615 1938 2550 2850 3230 4845 8075 9690 16150 24225 44281 48450 88562 132843 221405 265686 442810 664215 752777 841339 1107025 1328430 1505554 1682678 2214050 2258331 2524017 3321075 3763885 4206695 4516662 5048034 6642150 7527770 8413390 11291655 12620085 14302763 18819425 21033475 22583310 25240170 28605526 37638850 42066950 42908289 56458275 63100425 71513815 85816578 112916550 126200850 143027630 214541445 357569075 429082890 715138150 1072707225 2145414450