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2212453135040 = 26561328194001
BaseRepresentation
bin100000001100100000011…
…110111011001011000000
321211111201122220100020012
4200030200132323023000
5242222101000310130
64412215325004052
7315562436233151
oct40144036731300
97744648810205
102212453135040
11783329130725
122b89560b3628
131308308719b5
1479124825928
153c83e87e995
hex203207bb2c0

2212453135040 has 112 divisors (see below), whose sum is σ = 5280189815520. Its totient is φ = 883003392000.

The previous prime is 2212453135033. The next prime is 2212453135043. The reversal of 2212453135040 is 405313542122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2212453134988 and 2212453135006.

It is not an unprimeable number, because it can be changed into a prime (2212453135043) 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, 552973040 + ... + 552977040.

Almost surely, 22212453135040 is an apocalyptic number.

2212453135040 is a gapful number since it is divisible by the number (20) 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 2212453135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640094907760).

2212453135040 is an abundant number, since it is smaller than the sum of its proper divisors (3067736680480).

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

2212453135040 is a wasteful number, since it uses less digits than its factorization.

2212453135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 2212453135040 its reverse (405313542122), we get a palindrome (2617766677162).

The spelling of 2212453135040 in words is "two trillion, two hundred twelve billion, four hundred fifty-three million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 613 1226 2452 2819 3065 4001 4904 5638 6130 8002 9808 11276 12260 14095 16004 19616 20005 22552 24520 28190 32008 39232 40010 45104 49040 56380 64016 80020 90208 98080 112760 128032 160040 180416 196160 225520 256064 320080 451040 640160 902080 1280320 1728047 2452613 3456094 4905226 6912188 8640235 9810452 11278819 12263065 13824376 17280470 19620904 22557638 24526130 27648752 34560940 39241808 45115276 49052260 55297504 56394095 69121880 78483616 90230552 98104520 110595008 112788190 138243760 156967232 180461104 196209040 225576380 276487520 360922208 392418080 451152760 552975040 721844416 784836160 902305520 1804611040 3609222080 6913916047 13827832094 27655664188 34569580235 55311328376 69139160470 110622656752 138278320940 221245313504 276556641880 442490627008 553113283760 1106226567520 2212453135040