Search a number
-
+
2011220232 = 233731419419
BaseRepresentation
bin111011111100000…
…1100100100001000
312012011110120111020
41313320030210020
513104333021412
6531323232440
7100561042560
oct16770144410
95164416436
102011220232
1194231058a
12481678720
132608a5458
14151179da0
15bb87c18c
hex77e0c908

2011220232 has 128 divisors (see below), whose sum is σ = 6077030400. Its totient is φ = 542476800.

The previous prime is 2011220231. The next prime is 2011220297. The reversal of 2011220232 is 2320221102.

It is a happy number.

It is a super-2 number, since 2×20112202322 = 8090013643212267648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011220231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208819 + ... + 218237.

It is an arithmetic number, because the mean of its divisors is an integer number (47476800).

Almost surely, 22011220232 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 2011220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038515200).

2011220232 is an abundant number, since it is smaller than the sum of its proper divisors (4065810168).

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

2011220232 is a wasteful number, since it uses less digits than its factorization.

2011220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9503 counting only the distinct ones).

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

The square root of 2011220232 is about 44846.6301075120. The cubic root of 2011220232 is about 1262.2727586562.

Adding to 2011220232 its reverse (2320221102), we get a palindrome (4331441334).

The spelling of 2011220232 in words is "two billion, eleven million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 56 62 82 84 93 123 124 164 168 186 217 246 248 287 328 372 434 492 574 651 744 861 868 984 1148 1271 1302 1722 1736 2296 2542 2604 3444 3813 5084 5208 6888 7626 8897 9419 10168 15252 17794 18838 26691 28257 30504 35588 37676 53382 56514 65933 71176 75352 106764 113028 131866 197799 213528 226056 263732 291989 386179 395598 527464 583978 772358 791196 875967 1158537 1167956 1544716 1582392 1751934 2043923 2317074 2335912 2703253 3089432 3503868 4087846 4634148 5406506 6131769 7007736 8109759 8175692 9268296 10813012 11971549 12263538 16219518 16351384 21626024 23943098 24527076 32439036 35914647 47886196 49054152 64878072 71829294 83800843 95772392 143658588 167601686 251402529 287317176 335203372 502805058 670406744 1005610116 2011220232