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2132022112 = 251159251409
BaseRepresentation
bin111111100010100…
…0001001101100000
312111120202221111221
41333011001031200
513331244201422
6551320344424
7103555613623
oct17705011540
95446687457
102132022112
119a451a850
124b6015114
1327c92035c
14163223dba
15c72903c7
hex7f141360

2132022112 has 96 divisors (see below), whose sum is σ = 4686595200. Its totient is φ = 946560000.

The previous prime is 2132022107. The next prime is 2132022119. The reversal of 2132022112 is 2112202312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132022119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5212564 + ... + 5212972.

It is an arithmetic number, because the mean of its divisors is an integer number (48818700).

Almost surely, 22132022112 is an apocalyptic number.

2132022112 is a gapful number since it is divisible by the number (22) 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 2132022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343297600).

2132022112 is an abundant number, since it is smaller than the sum of its proper divisors (2554573088).

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

2132022112 is a wasteful number, since it uses less digits than its factorization.

2132022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2132022112 is about 46173.8249660996. The cubic root of 2132022112 is about 1287.0553816124.

Adding to 2132022112 its reverse (2112202312), we get a palindrome (4244224424).

The spelling of 2132022112 in words is "two billion, one hundred thirty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 251 352 409 472 502 649 818 944 1004 1298 1636 1888 2008 2596 2761 3272 4016 4499 5192 5522 6544 8032 8998 10384 11044 13088 14809 17996 20768 22088 24131 29618 35992 44176 48262 59236 71984 88352 96524 102659 118472 143968 162899 193048 205318 236944 265441 325798 386096 410636 473888 530882 651596 772192 821272 1061764 1129249 1303192 1642544 2123528 2258498 2606384 3285088 4247056 4516996 5212768 6056881 8494112 9033992 12113762 18067984 24227524 36135968 48455048 66625691 96910096 133251382 193820192 266502764 533005528 1066011056 2132022112