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2132233432 = 237317431063
BaseRepresentation
bin111111100010111…
…0100110011011000
312111121011200101121
41333011310303120
513331322432212
6551325055024
7103560454000
oct17705646330
95447150347
102132233432
119a465459a
124b60b7474
1327c9955b4
1416327b000
15c72d2d07
hex7f174cd8

2132233432 has 128 divisors (see below), whose sum is σ = 5056128000. Its totient is φ = 839268864.

The previous prime is 2132233429. The next prime is 2132233531. The reversal of 2132233432 is 2343322312.

It is a junction number, because it is equal to n+sod(n) for n = 2132233397 and 2132233406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2005333 + ... + 2006395.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

Almost surely, 22132233432 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 2132233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064000).

2132233432 is an abundant number, since it is smaller than the sum of its proper divisors (2923894568).

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

2132233432 is a wasteful number, since it uses less digits than its factorization.

2132233432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1132 counting only the distinct ones).

The product of its digits is 5184, while the sum is 25.

The square root of 2132233432 is about 46176.1132188494. The cubic root of 2132233432 is about 1287.0979033036.

Adding to 2132233432 its reverse (2343322312), we get a palindrome (4475555744).

The spelling of 2132233432 in words is "two billion, one hundred thirty-two million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 43 49 56 68 86 98 119 136 172 196 238 301 343 344 392 476 602 686 731 833 952 1063 1204 1372 1462 1666 2107 2126 2408 2744 2924 3332 4214 4252 5117 5831 5848 6664 7441 8428 8504 10234 11662 14749 14882 16856 18071 20468 23324 29498 29764 35819 36142 40936 45709 46648 52087 58996 59528 71638 72284 91418 104174 117992 126497 143276 144568 182836 208348 250733 252994 286552 319963 364609 365672 416696 501466 505988 639926 729218 777053 885479 1002932 1011976 1279852 1458436 1554106 1770958 2005864 2239741 2559704 2916872 3108212 3541916 4479482 5439371 6198353 6216424 7083832 8958964 10878742 12396706 15678187 17917928 21757484 24793412 31356374 38075597 43514968 49586824 62712748 76151194 125425496 152302388 266529179 304604776 533058358 1066116716 2132233432