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2212032120 = 2335103191937
BaseRepresentation
bin1000001111011000…
…1110111001111000
312201011022212121120
42003312032321320
514012240011440
61003255305240
7105546651144
oct20366167170
95634285546
102212032120
11a356a8521
1251897b220
1329338515c
1416dad0224
15ce2e6dd0
hex83d8ee78

2212032120 has 128 divisors (see below), whose sum is σ = 6742794240. Its totient is φ = 580469760.

The previous prime is 2212032091. The next prime is 2212032131. The reversal of 2212032120 is 212302122.

It is a happy number.

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 2212032120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360292 + ... + 2361228.

It is an arithmetic number, because the mean of its divisors is an integer number (52678080).

Almost surely, 22212032120 is an apocalyptic number.

2212032120 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 2212032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371397120).

2212032120 is an abundant number, since it is smaller than the sum of its proper divisors (4530762120).

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

2212032120 is a wasteful number, since it uses less digits than its factorization.

2212032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2212032120 is about 47032.2455343140. The cubic root of 2212032120 is about 1302.9581786807.

Adding to 2212032120 its reverse (212302122), we get a palindrome (2424334242).

The spelling of 2212032120 in words is "two billion, two hundred twelve million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 191 206 309 382 412 515 573 618 764 824 937 955 1030 1146 1236 1528 1545 1874 1910 2060 2292 2472 2811 2865 3090 3748 3820 4120 4584 4685 5622 5730 6180 7496 7640 9370 11244 11460 12360 14055 18740 19673 22488 22920 28110 37480 39346 56220 59019 78692 96511 98365 112440 118038 157384 178967 193022 196730 236076 289533 295095 357934 386044 393460 472152 482555 536901 579066 590190 715868 772088 786920 894835 965110 1073802 1158132 1180380 1431736 1447665 1789670 1930220 2147604 2316264 2360760 2684505 2895330 3579340 3860440 4295208 5369010 5790660 7158680 10738020 11581320 18433601 21476040 36867202 55300803 73734404 92168005 110601606 147468808 184336010 221203212 276504015 368672020 442406424 553008030 737344040 1106016060 2212032120