Search a number
-
+
4202466212 = 2272914233637
BaseRepresentation
bin1111101001111100…
…1000101110100100
3101211212200101212202
43322133020232210
532101312404322
61533001234032
7206066242040
oct37237105644
911755611782
104202466212
11186720107a
12993492918
1351c8603c9
142bc1b9020
15198e1a292
hexfa7c8ba4

4202466212 has 48 divisors (see below), whose sum is σ = 8703260160. Its totient is φ = 1737251712.

The previous prime is 4202466211. The next prime is 4202466221. The reversal of 4202466212 is 2126642024.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4202466211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153658 + ... + 1157294.

It is an arithmetic number, because the mean of its divisors is an integer number (181317920).

Almost surely, 24202466212 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 4202466212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351630080).

4202466212 is an abundant number, since it is smaller than the sum of its proper divisors (4500793948).

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

4202466212 is a wasteful number, since it uses less digits than its factorization.

4202466212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4202466212 is about 64826.4314303973. The cubic root of 4202466212 is about 1613.7443824148.

The spelling of 4202466212 in words is "four billion, two hundred two million, four hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1423 2846 3637 5692 7274 9961 14548 19922 25459 39844 41267 50918 82534 101836 105473 165068 210946 288869 421892 577738 738311 1155476 1476622 2953244 5175451 10350902 20701804 36228157 72456314 144912628 150088079 300176158 600352316 1050616553 2101233106 4202466212