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224342012004 = 2231119541165343
BaseRepresentation
bin1101000011101111010…
…0110111000001100100
3210110001210002000110120
43100323310313001210
512133423023341004
6251021123521540
722131255432015
oct3207364670144
9713053060416
10224342012004
11871632430a0
123758b8292b0
1318203435886
14ac02d0900c
155c804c23d9
hex343bd37064

224342012004 has 96 divisors (see below), whose sum is σ = 602222530560. Its totient is φ = 64284969600.

The previous prime is 224342011991. The next prime is 224342012017. The reversal of 224342012004 is 400210243422.

224342012004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224342011991) and next prime (224342012017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274157 + ... + 1439499.

It is an arithmetic number, because the mean of its divisors is an integer number (6273151360).

Almost surely, 2224342012004 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 224342012004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301111265280).

224342012004 is an abundant number, since it is smaller than the sum of its proper divisors (377880518556).

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

224342012004 is a wasteful number, since it uses less digits than its factorization.

224342012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165921 (or 165919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224342012004 its reverse (400210243422), we get a palindrome (624552255426).

The spelling of 224342012004 in words is "two hundred twenty-four billion, three hundred forty-two million, twelve thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 541 627 836 1082 1254 1623 2164 2508 3246 5951 6492 10279 11902 17853 20558 23804 30837 35706 41116 61674 71412 113069 123348 165343 226138 330686 339207 452276 496029 661372 678414 992058 1356828 1818773 1984116 3141517 3637546 5456319 6283034 7275092 9424551 10912638 12566068 18849102 21825276 34556687 37698204 69113374 89450563 103670061 138226748 178901126 207340122 268351689 357802252 414680244 536703378 983956193 1073406756 1699560697 1967912386 2951868579 3399121394 3935824772 5098682091 5903737158 6798242788 10197364182 11807474316 18695167667 20394728364 37390335334 56085503001 74780670668 112171006002 224342012004