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2169995952 = 2431071133739
BaseRepresentation
bin1000000101010111…
…1000001010110000
312121020020012211110
42001111320022300
513421004332302
6555154313320
7104526442545
oct20125701260
95536205743
102169995952
11a139a7093
12506888840
13287757897
141682aabcc
15ca791b6c
hex815782b0

2169995952 has 80 divisors (see below), whose sum is σ = 5709813120. Its totient is φ = 710040576.

The previous prime is 2169995929. The next prime is 2169995981. The reversal of 2169995952 is 2595999612.

It is a junction number, because it is equal to n+sod(n) for n = 2169995892 and 2169995901.

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, 578499 + ... + 582237.

It is an arithmetic number, because the mean of its divisors is an integer number (71372664).

Almost surely, 22169995952 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 2169995952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854906560).

2169995952 is an abundant number, since it is smaller than the sum of its proper divisors (3539817168).

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

2169995952 is a wasteful number, since it uses less digits than its factorization.

2169995952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3964 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 57.

The square root of 2169995952 is about 46583.2153463026. The cubic root of 2169995952 is about 1294.6517853486.

The spelling of 2169995952 in words is "two billion, one hundred sixty-nine million, nine hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 113 214 226 321 339 428 452 642 678 856 904 1284 1356 1712 1808 2568 2712 3739 5136 5424 7478 11217 12091 14956 22434 24182 29912 36273 44868 48364 59824 72546 89736 96728 145092 179472 193456 290184 400073 422507 580368 800146 845014 1200219 1267521 1600292 1690028 2400438 2535042 3200584 3380056 4800876 5070084 6401168 6760112 9601752 10140168 19203504 20280336 45208249 90416498 135624747 180832996 271249494 361665992 542498988 723331984 1084997976 2169995952