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4223072430 = 2335193732207
BaseRepresentation
bin1111101110110110…
…1111100010101110
3101220022110022022000
43323231233202232
532122101304210
61535015033130
7206436344343
oct37355574256
911808408260
104223072430
1118778a5905
1299a36b7a6
13523bc6735
142c0c207ca
1519ab3aac0
hexfbb6f8ae

4223072430 has 128 divisors (see below), whose sum is σ = 11891404800. Its totient is φ = 1063539072.

The previous prime is 4223072407. The next prime is 4223072431. The reversal of 4223072430 is 342703224.

4223072430 is a `hidden beast` number, since 4 + 223 + 0 + 7 + 2 + 430 = 666.

It is a super-2 number, since 2×42230724302 = 35668681498052209800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4223072394 and 4223072403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223072431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1912387 + ... + 1914593.

It is an arithmetic number, because the mean of its divisors is an integer number (92901600).

Almost surely, 24223072430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223072430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945702400).

4223072430 is an abundant number, since it is smaller than the sum of its proper divisors (7668332370).

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

4223072430 is a wasteful number, since it uses less digits than its factorization.

4223072430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 4223072430 is about 64985.1708468940. The cubic root of 4223072430 is about 1616.3776746811.

Adding to 4223072430 its reverse (342703224), we get a palindrome (4565775654).

The spelling of 4223072430 in words is "four billion, two hundred twenty-three million, seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 373 513 570 746 855 1026 1119 1710 1865 2207 2238 2565 3357 3730 4414 5130 5595 6621 6714 7087 10071 11035 11190 13242 14174 16785 19863 20142 21261 22070 33105 33570 35435 39726 41933 42522 50355 59589 63783 66210 70870 83866 99315 100710 106305 119178 125799 127566 191349 198630 209665 212610 251598 297945 318915 377397 382698 419330 595890 628995 637830 754794 823211 956745 1132191 1257990 1646422 1886985 1913490 2264382 2469633 3773970 4116055 4939266 5660955 7408899 8232110 11321910 12348165 14817798 15641009 22226697 24696330 31282018 37044495 44453394 46923027 74088990 78205045 93846054 111133485 140769081 156410090 222266970 234615135 281538162 422307243 469230270 703845405 844614486 1407690810 2111536215 4223072430