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2145202176 = 21231321033
BaseRepresentation
bin111111111011101…
…0011000000000000
312112111120120011110
41333313103000000
513343132432201
6552511043320
7104105626515
oct17767230000
95474516143
102145202176
11a00a02167
124ba510540
13282586500
14164c9530c
15c84e56d6
hex7fdd3000

2145202176 has 156 divisors (see below), whose sum is σ = 6199669608. Its totient is φ = 659423232.

The previous prime is 2145202133. The next prime is 2145202183. The reversal of 2145202176 is 6712025412.

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076156 + ... + 2077188.

Almost surely, 22145202176 is an apocalyptic number.

2145202176 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 2145202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099834804).

2145202176 is an abundant number, since it is smaller than the sum of its proper divisors (4054467432).

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

2145202176 is a wasteful number, since it uses less digits than its factorization.

2145202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2145202176 is about 46316.3273155374. The cubic root of 2145202176 is about 1289.7021077667.

Adding to 2145202176 its reverse (6712025412), we get a palindrome (8857227588).

The spelling of 2145202176 in words is "two billion, one hundred forty-five million, two hundred two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1024 1033 1248 1352 1536 1664 2028 2048 2066 2496 2704 3072 3099 3328 4056 4096 4132 4992 5408 6144 6198 6656 8112 8264 9984 10816 12288 12396 13312 13429 16224 16528 19968 21632 24792 26624 26858 32448 33056 39936 40287 43264 49584 53248 53716 64896 66112 79872 80574 86528 99168 107432 129792 132224 159744 161148 173056 174577 198336 214864 259584 264448 322296 346112 349154 396672 429728 519168 523731 528896 644592 692224 698308 793344 859456 1038336 1047462 1057792 1289184 1396616 1586688 1718912 2076672 2094924 2115584 2578368 2793232 3173376 3437824 4189848 4231168 5156736 5586464 6346752 6875648 8379696 10313472 11172928 12693504 13751296 16759392 20626944 22345856 27502592 33518784 41253888 44691712 55005184 67037568 82507776 89383424 134075136 165015552 178766848 268150272 357533696 536300544 715067392 1072601088 2145202176