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4214052332 = 22721931173211
BaseRepresentation
bin1111101100101101…
…0101010111101100
3101212200111001001022
43323023111113230
532112244133312
61534053433312
7206266565600
oct37313252754
911780431038
104214052332
1118727a4986
1299733b838
13522088bb9
142bd953500
15199e58172
hexfb2d55ec

4214052332 has 144 divisors (see below), whose sum is σ = 9419719680. Its totient is φ = 1638403200.

The previous prime is 4214052299. The next prime is 4214052343. The reversal of 4214052332 is 2332504124.

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, 19971707 + ... + 19971917.

It is an arithmetic number, because the mean of its divisors is an integer number (65414720).

Almost surely, 24214052332 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 4214052332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709859840).

4214052332 is an abundant number, since it is smaller than the sum of its proper divisors (5205667348).

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

4214052332 is a wasteful number, since it uses less digits than its factorization.

4214052332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4214052332 is about 64915.7325461247. The cubic root of 4214052332 is about 1615.2260425426.

Adding to 4214052332 its reverse (2332504124), we get a palindrome (6546556456).

The spelling of 4214052332 in words is "four billion, two hundred fourteen million, fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 173 196 211 217 266 346 422 434 532 589 692 844 868 931 1178 1211 1477 1519 1862 2356 2422 2954 3038 3287 3724 4009 4123 4844 5363 5908 6076 6541 6574 8018 8246 8477 10339 10726 13082 13148 16036 16492 16954 20678 21452 23009 26164 28063 28861 33908 36503 37541 41356 45787 46018 56126 57722 73006 75082 91574 92036 101897 112252 115444 124279 146012 150164 161063 183148 196441 203794 248558 255521 262787 320509 322126 392882 407588 497116 511042 525574 641018 644252 693557 713279 785764 869953 1022084 1051148 1131593 1282036 1387114 1426558 1739906 1788647 2263186 2774228 2853116 3479812 3577294 4526372 4854899 4992953 6089671 7154588 7921151 9709798 9985906 12179342 15842302 19419596 19971812 21500267 24358684 31684604 33984293 43000534 55448057 67968586 86001068 110896114 135937172 150501869 221792228 301003738 602007476 1053513083 2107026166 4214052332