Search a number
-
+
2212140120 = 233531758153
BaseRepresentation
bin1000001111011010…
…1001010001011000
312201011112100202120
42003312221101120
514012301440440
61003301501240
7105550611051
oct20366512130
95634470676
102212140120
11a35771683
12518a11820
132933c2368
1416db1b728
15ce318dd0
hex83da9458

2212140120 has 64 divisors (see below), whose sum is σ = 6657469920. Its totient is φ = 588033024.

The previous prime is 2212140071. The next prime is 2212140131. The reversal of 2212140120 is 210412122.

It is a super-2 number, since 2×22121401202 = 9787127821027228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212140120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8964 + ... + 67116.

Almost surely, 22212140120 is an apocalyptic number.

2212140120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328734960).

2212140120 is an abundant number, since it is smaller than the sum of its proper divisors (4445329800).

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

2212140120 is a wasteful number, since it uses less digits than its factorization.

2212140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58484 (or 58480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2212140120 is about 47033.3936687541. The cubic root of 2212140120 is about 1302.9793834953.

Adding to 2212140120 its reverse (210412122), we get a palindrome (2422552242).

The spelling of 2212140120 in words is "two billion, two hundred twelve million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1902 2536 3170 3804 4755 6340 7608 9510 12680 19020 38040 58153 116306 174459 232612 290765 348918 465224 581530 697836 872295 1163060 1395672 1744590 2326120 3489180 6978360 18434501 36869002 55303503 73738004 92172505 110607006 147476008 184345010 221214012 276517515 368690020 442428024 553035030 737380040 1106070060 2212140120