Search a number
-
+
22007409468 = 2231110711313789
BaseRepresentation
bin10100011111101111…
…100110101100111100
32002210201211020100120
4110133233212230330
5330032344100333
614035435054540
71406235615432
oct243757465474
962721736316
1022007409468
119373677510
1243222a1450
1320c95476a5
1410cab4cd52
1588c0e3db3
hex51fbe6b3c

22007409468 has 96 divisors (see below), whose sum is σ = 57046913280. Its totient is φ = 6547645440.

The previous prime is 22007409467. The next prime is 22007409497. The reversal of 22007409468 is 86490470022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22007409461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589118 + ... + 1602906.

It is an arithmetic number, because the mean of its divisors is an integer number (594238680).

Almost surely, 222007409468 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 22007409468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28523456640).

22007409468 is an abundant number, since it is smaller than the sum of its proper divisors (35039503812).

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

22007409468 is a wasteful number, since it uses less digits than its factorization.

22007409468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 22007409468 in words is "twenty-two billion, seven million, four hundred nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 113 132 214 226 321 339 428 452 642 678 1177 1243 1284 1356 2354 2486 3531 3729 4708 4972 7062 7458 12091 13789 14124 14916 24182 27578 36273 41367 48364 55156 72546 82734 133001 145092 151679 165468 266002 303358 399003 455037 532004 606716 798006 910074 1475423 1558157 1596012 1820148 2950846 3116314 4426269 4674471 5901692 6232628 8852538 9348942 16229653 17139727 17705076 18697884 32459306 34279454 48688959 51419181 64918612 68558908 97377918 102838362 166722799 194755836 205676724 333445598 500168397 666891196 1000336794 1833950789 2000673588 3667901578 5501852367 7335803156 11003704734 22007409468