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2132622320 = 245193673823
BaseRepresentation
bin111111100011101…
…0011101111110000
312111121220102211212
41333013103233300
513331422403240
6551341255252
7103563663533
oct17707235760
95447812755
102132622320
119a489a794
124b6264528
1327caa05ca
1416333ca1a
15c735d165
hex7f1d3bf0

2132622320 has 80 divisors (see below), whose sum is σ = 5234903040. Its totient is φ = 805738752.

The previous prime is 2132622311. The next prime is 2132622343. The reversal of 2132622320 is 232262312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555929 + ... + 559751.

It is an arithmetic number, because the mean of its divisors is an integer number (65436288).

Almost surely, 22132622320 is an apocalyptic number.

2132622320 is a gapful number since it is divisible by the number (20) 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 2132622320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617451520).

2132622320 is an abundant number, since it is smaller than the sum of its proper divisors (3102280720).

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

2132622320 is a wasteful number, since it uses less digits than its factorization.

2132622320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2132622320 is about 46180.3239486256. The cubic root of 2132622320 is about 1287.1761477858.

Adding to 2132622320 its reverse (232262312), we get a palindrome (2364884632).

The spelling of 2132622320 in words is "two billion, one hundred thirty-two million, six hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 367 380 734 760 1468 1520 1835 2936 3670 3823 5872 6973 7340 7646 13946 14680 15292 19115 27892 29360 30584 34865 38230 55784 61168 69730 72637 76460 111568 139460 145274 152920 278920 290548 305840 363185 557840 581096 726370 1162192 1403041 1452740 2806082 2905480 5612164 5810960 7015205 11224328 14030410 22448656 26657779 28060820 53315558 56121640 106631116 112243280 133288895 213262232 266577790 426524464 533155580 1066311160 2132622320