Search a number
-
+
1221011988 = 223723756123
BaseRepresentation
bin100100011000111…
…0010101000010100
310011002112211120020
41020301302220110
510000034340423
6321054305140
742154300500
oct11061625024
93132484506
101221011988
11577258419
122a0ab81b0
13165c70401
14b823d300
15722db4e3
hex48c72a14

1221011988 has 72 divisors (see below), whose sum is σ = 3403808352. Its totient is φ = 339425856.

The previous prime is 1221011977. The next prime is 1221011999. The reversal of 1221011988 is 8891101221.

It is an interprime number because it is at equal distance from previous prime (1221011977) and next prime (1221011999).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6306 + ... + 49817.

It is an arithmetic number, because the mean of its divisors is an integer number (47275116).

Almost surely, 21221011988 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 1221011988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701904176).

1221011988 is an abundant number, since it is smaller than the sum of its proper divisors (2182796364).

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

1221011988 is a wasteful number, since it uses less digits than its factorization.

1221011988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56181 (or 56172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The square root of 1221011988 is about 34942.9819563242. The cubic root of 1221011988 is about 1068.8250963818.

The spelling of 1221011988 in words is "one billion, two hundred twenty-one million, eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 7252 10878 21756 56123 112246 168369 224492 336738 392861 673476 785722 1178583 1571444 2076551 2357166 2750027 4153102 4714332 5500054 6229653 8250081 8306204 11000108 12459306 14535857 16500162 24918612 29071714 33000324 43607571 58143428 87215142 101750999 174430284 203501998 305252997 407003996 610505994 1221011988