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4314231220 = 22513711032269
BaseRepresentation
bin1000000010010010…
…11111000110110100
3102010122222122122111
410001021133012310
532313420344340
61552032540404
7211624234405
oct40111370664
912118878574
104314231220
1119142a8852
12a049b1704
13539a62c50
142ccd8d9ac
151a3b45aea
hex10125f1b4

4314231220 has 96 divisors (see below), whose sum is σ = 9994682880. Its totient is φ = 1554577920.

The previous prime is 4314231203. The next prime is 4314231239. The reversal of 4314231220 is 221324134.

It is a super-2 number, since 2×43142312202 = 37225182039245376800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314231191 and 4314231200.

It is a congruent number.

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, 1900246 + ... + 1902514.

It is an arithmetic number, because the mean of its divisors is an integer number (104111280).

Almost surely, 24314231220 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 4314231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997341440).

4314231220 is an abundant number, since it is smaller than the sum of its proper divisors (5680451660).

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

4314231220 is a wasteful number, since it uses less digits than its factorization.

4314231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4314231220 is about 65682.8076440099. The cubic root of 4314231220 is about 1627.9252989688.

Adding to 4314231220 its reverse (221324134), we get a palindrome (4535555354).

The spelling of 4314231220 in words is "four billion, three hundred fourteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 103 130 142 206 260 284 355 412 515 710 923 1030 1339 1420 1846 2060 2269 2678 3692 4538 4615 5356 6695 7313 9076 9230 11345 13390 14626 18460 22690 26780 29252 29497 36565 45380 58994 73130 95069 117988 146260 147485 161099 190138 233707 294970 322198 380276 467414 475345 589940 644396 805495 934828 950690 1168535 1610990 1901380 2094287 2337070 3038191 3221980 4188574 4674140 6076382 8377148 10471435 12152764 15190955 16593197 20942870 30381910 33186394 41885740 60763820 66372788 82965985 165931970 215711561 331863940 431423122 862846244 1078557805 2157115610 4314231220