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223131143422432 = 25713715647464687
BaseRepresentation
bin110010101110111111000100…
…100010101100000111100000
31002021001010111000211222000001
4302232333010202230013200
5213221240040204004212
62110321010541505344
764666456512315130
oct6256770442540740
91067033430758001
10223131143422432
1165107428499403
1221038388572254
13976723ab1c54b
143d15868046ac0
151abe246a8e657
hexcaefc48ac1e0

223131143422432 has 96 divisors (see below), whose sum is σ = 505743043534848. Its totient is φ = 94923349748736.

The previous prime is 223131143422427. The next prime is 223131143422459. The reversal of 223131143422432 is 234224341131322.

It is a super-3 number, since 3×2231311434224323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223131143422391 and 223131143422400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479942793 + ... + 480407479.

It is an arithmetic number, because the mean of its divisors is an integer number (5268156703488).

Almost surely, 2223131143422432 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 223131143422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252871521767424).

223131143422432 is an abundant number, since it is smaller than the sum of its proper divisors (282611900112416).

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

223131143422432 is a wasteful number, since it uses less digits than its factorization.

223131143422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480488 (or 480480 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 223131143422432 its reverse (234224341131322), we get a palindrome (457355484553754).

The spelling of 223131143422432 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 7672 15344 15647 30688 31294 62588 109529 125176 219058 250352 438116 464687 500704 876232 929374 1752464 1858748 2143639 3252809 3504928 3717496 4287278 6505618 7434992 8574556 13011236 14869984 15005473 17149112 26022472 30010946 34298224 52044944 60021892 63662119 68596448 104089888 120043784 127324238 240087568 254648476 445634833 480175136 509296952 891269666 1018593904 1782539332 2037187808 3565078664 7130157328 7270957489 14260314656 14541914978 29083829956 50896702423 58167659912 101793404846 116335319824 203586809692 232670639648 407173619384 814347238768 996121175993 1628694477536 1992242351986 3984484703972 6972848231951 7968969407944 13945696463902 15937938815888 27891392927804 31875877631776 55782785855608 111565571711216 223131143422432