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2252233120 = 25579178183
BaseRepresentation
bin1000011000111110…
…0101100110100000
312210221222022000111
42012033211212200
514103032424440
61011253101104
7106545444214
oct20617454640
95727868014
102252233120
11a56366095
1252a327794
1329b7bc327
14175196944
15d2ad84ea
hex863e59a0

2252233120 has 48 divisors (see below), whose sum is σ = 5388284160. Its totient is φ = 889484544.

The previous prime is 2252233099. The next prime is 2252233133. The reversal of 2252233120 is 213322522.

It is a junction number, because it is equal to n+sod(n) for n = 2252233091 and 2252233100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76452 + ... + 101731.

It is an arithmetic number, because the mean of its divisors is an integer number (112255920).

Almost surely, 22252233120 is an apocalyptic number.

2252233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252233120 is an abundant number, since it is smaller than the sum of its proper divisors (3136051040).

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

2252233120 is a wasteful number, since it uses less digits than its factorization.

2252233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178277 (or 178269 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2252233120 is about 47457.6982164116. The cubic root of 2252233120 is about 1310.8040670981.

Adding to 2252233120 its reverse (213322522), we get a palindrome (2465555642).

The spelling of 2252233120 in words is "two billion, two hundred fifty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 12640 178183 356366 712732 890915 1425464 1781830 2850928 3563660 5701856 7127320 14076457 14254640 28152914 28509280 56305828 70382285 112611656 140764570 225223312 281529140 450446624 563058280 1126116560 2252233120