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224213223402 = 232710719187071
BaseRepresentation
bin1101000011010000100…
…1100100011111101010
3210102201210201212201100
43100310021210133222
512133142041122102
6251000243302230
722125132645030
oct3206411443752
9712653655640
10224213223402
11870a7579333
123755467a976
13181b28525bc
14abcdb82550
155c74032a1c
hex34342647ea

224213223402 has 96 divisors (see below), whose sum is σ = 563323797504. Its totient is φ = 63129232800.

The previous prime is 224213223361. The next prime is 224213223461. The reversal of 224213223402 is 204322312422.

224213223402 is a `hidden beast` number, since 2 + 2 + 421 + 3 + 2 + 234 + 0 + 2 = 666.

224213223402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531527 + ... + 2618597.

It is an arithmetic number, because the mean of its divisors is an integer number (5867956224).

Almost surely, 2224213223402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224213223402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281661898752).

224213223402 is an abundant number, since it is smaller than the sum of its proper divisors (339110574102).

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

224213223402 is a wasteful number, since it uses less digits than its factorization.

224213223402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87384 (or 87381 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224213223402 its reverse (204322312422), we get a palindrome (428535535824).

The spelling of 224213223402 in words is "two hundred twenty-four billion, two hundred thirteen million, two hundred twenty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 191 214 321 382 573 642 749 963 1146 1337 1498 1719 1926 2247 2674 3438 4011 4494 6741 8022 12033 13482 20437 24066 40874 61311 87071 122622 143059 174142 183933 261213 286118 367866 429177 522426 609497 783639 858354 1218994 1287531 1567278 1828491 2575062 3656982 5485473 9316597 10970946 16630561 18633194 27949791 33261122 49891683 55899582 65216179 83849373 99783366 116413927 130432358 149675049 167698746 195648537 232827854 299350098 349241781 391297074 586945611 698483562 1047725343 1173891222 1779470027 2095450686 3558940054 5338410081 10676820162 12456290189 16015230243 24912580378 32030460486 37368870567 74737741134 112106611701 224213223402