Search a number
-
+
2220388836120 = 2333573132291223
BaseRepresentation
bin100000010011111001011…
…111001110001100011000
321212021012201022201121000
4200103321133032030120
5242334324020223440
64420011010345000
7316263206463000
oct40237137161430
97767181281530
102220388836120
11786730681374
122ba3ab88b160
131314c6991200
1479678753000
153cb563c8730
hex204f97ce318

2220388836120 has 1536 divisors, whose sum is σ = 9676454400000. Its totient is φ = 451953395712.

The previous prime is 2220388836101. The next prime is 2220388836131. The reversal of 2220388836120 is 216388830222.

It is a happy number.

2220388836120 is a `hidden beast` number, since 2 + 2 + 20 + 3 + 8 + 8 + 8 + 3 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1815525829 + ... + 1815527051.

It is an arithmetic number, because the mean of its divisors is an integer number (6299775000).

Almost surely, 22220388836120 is an apocalyptic number.

2220388836120 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 2220388836120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838227200000).

2220388836120 is an abundant number, since it is smaller than the sum of its proper divisors (7456065563880).

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

2220388836120 is a wasteful number, since it uses less digits than its factorization.

2220388836120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2220388836120 in words is "two trillion, two hundred twenty billion, three hundred eighty-eight million, eight hundred thirty-six thousand, one hundred twenty".