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1222323140424 = 2333719722331333
BaseRepresentation
bin10001110010011000001…
…000101111011101001000
311022212000210122010210010
4101302120020233131020
5130011304210443144
62333305534551520
7154211210160051
oct21623010573510
94285023563703
101222323140424
11431425601981
12178a896685a0
138b35937a439
1443237183728
1521bde8995b9
hex11c9822f748

1222323140424 has 128 divisors (see below), whose sum is σ = 3168574295040. Its totient is φ = 392635579392.

The previous prime is 1222323140419. The next prime is 1222323140431. The reversal of 1222323140424 is 4240413232221.

It is a super-3 number, since 3×12223231404243 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1222323140391 and 1222323140400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38995062 + ... + 39026394.

It is an arithmetic number, because the mean of its divisors is an integer number (24754486680).

Almost surely, 21222323140424 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 1222323140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584287147520).

1222323140424 is an abundant number, since it is smaller than the sum of its proper divisors (1946251154616).

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

1222323140424 is a wasteful number, since it uses less digits than its factorization.

1222323140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31799 (or 31795 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1222323140424 its reverse (4240413232221), we get a palindrome (5462736372645).

The spelling of 1222323140424 in words is "one trillion, two hundred twenty-two billion, three hundred twenty-three million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 197 222 223 296 394 444 446 591 669 788 888 892 1182 1338 1576 1784 2364 2676 4728 5352 7289 8251 14578 16502 21867 24753 29156 31333 33004 43734 43931 49506 58312 62666 66008 87468 87862 93999 99012 125332 131793 174936 175724 187998 198024 250664 263586 351448 375996 527172 751992 1054344 1159321 1625447 2318642 3250894 3477963 4637284 4876341 6172601 6501788 6955926 6987259 9274568 9752682 12345202 13003576 13911852 13974518 18517803 19505364 20961777 24690404 27823704 27949036 37035606 39010728 41923554 49380808 55898072 74071212 83847108 148142424 167694216 228386237 258528583 456772474 517057166 685158711 775585749 913544948 1034114332 1370317422 1376490023 1551171498 1827089896 2068228664 2740634844 2752980046 3102342996 4129470069 5481269688 5505960092 6204685992 8258940138 11011920184 16517880276 33035760552 50930130851 101860261702 152790392553 203720523404 305580785106 407441046808 611161570212 1222323140424