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230012222100 = 223523136767391
BaseRepresentation
bin1101011000110111001…
…0111111101010010100
3210222200221120112102220
43112031302333222110
512232031112101400
6253355520102340
722421626425543
oct3261562775224
9728627515386
10230012222100
11896029a2941
12386b27649b0
13188c80a338b
14b1bddcc15a
155eb31b47a0
hex358dcbfa94

230012222100 has 144 divisors (see below), whose sum is σ = 688851910656. Its totient is φ = 59195376000.

The previous prime is 230012222081. The next prime is 230012222117. The reversal of 230012222100 is 1222210032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230012222100.

It is a congruent number.

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, 3379405 + ... + 3446795.

It is an arithmetic number, because the mean of its divisors is an integer number (4783693824).

Almost surely, 2230012222100 is an apocalyptic number.

230012222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344425955328).

230012222100 is an abundant number, since it is smaller than the sum of its proper divisors (458839688556).

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

230012222100 is a wasteful number, since it uses less digits than its factorization.

230012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67806 (or 67799 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 230012222100 its reverse (1222210032), we get a palindrome (231234432132).

The spelling of 230012222100 in words is "two hundred thirty billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 367 372 465 620 734 775 930 1101 1468 1550 1835 1860 2202 2325 3100 3670 4404 4650 5505 7340 9175 9300 11010 11377 18350 22020 22754 27525 34131 36700 45508 55050 56885 67391 68262 110100 113770 134782 136524 170655 202173 227540 269564 284425 336955 341310 404346 568850 673910 682620 808692 853275 1010865 1137700 1347820 1684775 1706550 2021730 2089121 3369550 3413100 4043460 4178242 5054325 6267363 6739100 8356484 10108650 10445605 12534726 20217300 20891210 24732497 25069452 31336815 41782420 49464994 52228025 62673630 74197491 98929988 104456050 123662485 125347260 148394982 156684075 208912100 247324970 296789964 313368150 370987455 494649940 618312425 626736300 741974910 766707407 1236624850 1483949820 1533414814 1854937275 2300122221 2473249700 3066829628 3709874550 3833537035 4600244442 7419749100 7667074070 9200488884 11500611105 15334148140 19167685175 23001222210 38335370350 46002444420 57503055525 76670740700 115006111050 230012222100