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230024214342 = 23313883371087
BaseRepresentation
bin1101011000111010000…
…0101111011101000110
3210222201210010210201000
43112032200233131012
512232042144324332
6253401025114130
722422133363416
oct3261640573506
9728653123630
10230024214342
118960974388a
12386b6788946
13188ca711990
14b1c1830646
155eb4282b7c
hex358e82f746

230024214342 has 64 divisors (see below), whose sum is σ = 551110210560. Its totient is φ = 70696336032.

The previous prime is 230024214281. The next prime is 230024214359. The reversal of 230024214342 is 243412420032.

230024214342 is a `hidden beast` number, since 2 + 300 + 2 + 4 + 2 + 14 + 342 = 666.

It is a super-2 number, since 2×2300242143422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 434323 + ... + 805409.

It is an arithmetic number, because the mean of its divisors is an integer number (8611097040).

Almost surely, 2230024214342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230024214342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275555105280).

230024214342 is an abundant number, since it is smaller than the sum of its proper divisors (321085996218).

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

230024214342 is a wasteful number, since it uses less digits than its factorization.

230024214342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371994 (or 371988 counting only the distinct ones).

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

Adding to 230024214342 its reverse (243412420032), we get a palindrome (473436634374).

The spelling of 230024214342 in words is "two hundred thirty billion, twenty-four million, two hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 883 1766 2649 5298 7947 11479 15894 22958 23841 34437 47682 68874 103311 206622 309933 371087 619866 742174 1113261 2226522 3339783 4824131 6679566 9648262 10019349 14472393 20038698 28944786 43417179 86834358 130251537 260503074 327669821 655339642 983009463 1966018926 2949028389 4259707673 5898056778 8519415346 8847085167 12779123019 17694170334 25558246038 38337369057 76674738114 115012107171 230024214342