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2132204120 = 235292241263
BaseRepresentation
bin111111100010110…
…1101101001011000
312111121010012011222
41333011231221120
513331321012440
6551324311212
7103560302354
oct17705555130
95447105158
102132204120
119a4634572
124b60a2508
1327c985157
14163270464
15c72c92b5
hex7f16da58

2132204120 has 96 divisors (see below), whose sum is σ = 5008180320. Its totient is φ = 816936960.

The previous prime is 2132204101. The next prime is 2132204131. The reversal of 2132204120 is 214022312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8107109 + ... + 8107371.

It is an arithmetic number, because the mean of its divisors is an integer number (52168545).

Almost surely, 22132204120 is an apocalyptic number.

2132204120 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 2132204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504090160).

2132204120 is an abundant number, since it is smaller than the sum of its proper divisors (2875976200).

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

2132204120 is a wasteful number, since it uses less digits than its factorization.

2132204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2132204120 is about 46175.7958242194. The cubic root of 2132204120 is about 1287.0920053273.

Adding to 2132204120 its reverse (214022312), we get a palindrome (2346226432).

The spelling of 2132204120 in words is "two billion, one hundred thirty-two million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 241 263 290 482 526 580 841 964 1052 1160 1205 1315 1682 1928 2104 2410 2630 3364 4205 4820 5260 6728 6989 7627 8410 9640 10520 13978 15254 16820 27956 30508 33640 34945 38135 55912 61016 63383 69890 76270 126766 139780 152540 202681 221183 253532 279560 305080 316915 405362 442366 507064 633830 810724 884732 1013405 1105915 1267660 1621448 1769464 1838107 2026810 2211830 2535320 3676214 4053620 4423660 7352428 8107240 8847320 9190535 14704856 18381070 36762140 53305103 73524280 106610206 213220412 266525515 426440824 533051030 1066102060 2132204120