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22001214004 = 227111513671289
BaseRepresentation
bin10100011111010111…
…111110001000110100
32002210022011110202221
4110133113332020310
5330024302322004
614035054212124
71406132143030
oct243727761064
962708143687
1022001214004
1193701257a0
1243201b4044
1320c8188733
1410c9db91c0
1588b7bd354
hex51f5fe234

22001214004 has 96 divisors (see below), whose sum is σ = 48489799680. Its totient is φ = 8485344000.

The previous prime is 22001213987. The next prime is 22001214007. The reversal of 22001214004 is 40041210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001214007) 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, 17067792 + ... + 17069080.

It is an arithmetic number, because the mean of its divisors is an integer number (505102080).

Almost surely, 222001214004 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 22001214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24244899840).

22001214004 is an abundant number, since it is smaller than the sum of its proper divisors (26488585676).

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

22001214004 is a wasteful number, since it uses less digits than its factorization.

22001214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22001214004 its reverse (40041210022), we get a palindrome (62042424026).

The spelling of 22001214004 in words is "twenty-two billion, one million, two hundred fourteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 151 154 302 308 367 604 734 1057 1289 1468 1661 2114 2569 2578 3322 4037 4228 5138 5156 6644 8074 9023 10276 11627 14179 16148 18046 23254 28259 28358 36092 46508 55417 56518 56716 99253 110834 113036 194639 198506 221668 387919 389278 397012 473063 609587 775838 778556 946126 1219174 1362473 1551676 1892252 2141029 2438348 2724946 3311441 4267109 4282058 5203693 5449892 6622882 8534218 8564116 10407386 13245764 14987203 17068436 20814772 29974406 36425851 59948812 71432513 72851702 142865026 145703404 285730052 500027591 785757643 1000055182 1571515286 2000110364 3143030572 5500303501 11000607002 22001214004