Search a number
-
+
23031401232 = 24371273731447
BaseRepresentation
bin10101011100110001…
…110100101100010000
32012110002122101222110
4111130301310230100
5334132014314412
614325214505320
71443511452240
oct253461645420
965402571873
1023031401232
1198496976a4
124569205240
132230734b88
141186b43b20
158ebe63d3c
hex55cc74b10

23031401232 has 160 divisors (see below), whose sum is σ = 68764106752. Its totient is φ = 6506583552.

The previous prime is 23031401207. The next prime is 23031401303. The reversal of 23031401232 is 23210413032.

It is a super-2 number, since 2×230314012322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23031401199 and 23031401208.

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, 15915933 + ... + 15917379.

Almost surely, 223031401232 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 23031401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34382053376).

23031401232 is an abundant number, since it is smaller than the sum of its proper divisors (45732705520).

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

23031401232 is a wasteful number, since it uses less digits than its factorization.

23031401232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23031401232 its reverse (23210413032), we get a palindrome (46241814264).

The spelling of 23031401232 in words is "twenty-three billion, thirty-one million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 373 381 508 746 762 889 1016 1119 1447 1492 1524 1778 2032 2238 2611 2667 2894 2984 3048 3556 4341 4476 5222 5334 5788 5968 6096 7112 7833 8682 8952 10129 10444 10668 11576 14224 15666 17364 17904 20258 20888 21336 23152 30387 31332 34728 40516 41776 42672 47371 60774 62664 69456 81032 94742 121548 125328 142113 162064 183769 189484 243096 284226 331597 367538 378968 486192 539731 551307 568452 663194 735076 757936 994791 1079462 1102614 1136904 1286383 1326388 1470152 1619193 1989582 2158924 2205228 2273808 2572766 2652776 2940304 3238386 3778117 3859149 3979164 4317848 4410456 5145532 5305552 6476772 7556234 7718298 7958328 8635696 8820912 10291064 11334351 12953544 15112468 15436596 15916656 20582128 22668702 25907088 30224936 30873192 45337404 60449872 61746384 68545837 90674808 137091674 181349616 205637511 274183348 411275022 479820859 548366696 822550044 959641718 1096733392 1439462577 1645100088 1919283436 2878925154 3290200176 3838566872 5757850308 7677133744 11515700616 23031401232