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1422099072 = 2733587701
BaseRepresentation
bin101010011000011…
…1000001010000000
310200002221010012000
41110300320022000
510403024132242
6353040304000
750145433302
oct12460701200
93602833160
101422099072
1166a813099
12338312000
13198818454
14d6c25972
1584caca4c
hex54c38280

1422099072 has 128 divisors (see below), whose sum is σ = 4210315200. Its totient is φ = 472550400.

The previous prime is 1422099067. The next prime is 1422099073. The reversal of 1422099072 is 2709902241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14220990722 = 4044731541166522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1422099073) 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, 2028322 + ... + 2029022.

Almost surely, 21422099072 is an apocalyptic number.

1422099072 is a gapful number since it is divisible by the number (12) 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 1422099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105157600).

1422099072 is an abundant number, since it is smaller than the sum of its proper divisors (2788216128).

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

1422099072 is an equidigital number, since it uses as much as digits as its factorization.

1422099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1422099072 is about 37710.7288712377. The cubic root of 1422099072 is about 1124.5444270945.

The spelling of 1422099072 in words is "one billion, four hundred twenty-two million, ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 587 701 864 1152 1174 1402 1728 1761 2103 2348 2804 3456 3522 4206 4696 5283 5608 6309 7044 8412 9392 10566 11216 12618 14088 15849 16824 18784 18927 21132 22432 25236 28176 31698 33648 37568 37854 42264 44864 50472 56352 63396 67296 75136 75708 84528 89728 100944 112704 126792 134592 151416 169056 201888 225408 253584 269184 302832 338112 403776 411487 507168 605664 676224 807552 822974 1014336 1211328 1234461 1645948 2028672 2422656 2468922 3291896 3703383 4937844 6583792 7406766 9875688 11110149 13167584 14813532 19751376 22220298 26335168 29627064 39502752 44440596 52670336 59254128 79005504 88881192 118508256 158011008 177762384 237016512 355524768 474033024 711049536 1422099072