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1221141870 = 2325138291259
BaseRepresentation
bin100100011001001…
…0010010101101110
310011002210102201200
41020302102111232
510000103014440
6321101150330
742155351244
oct11062222556
93132712650
101221141870
11577336a63
122a0b5b3a6
13165cb7570
14b8274794
1572314c30
hex48c9256e

1221141870 has 96 divisors (see below), whose sum is σ = 3426040800. Its totient is φ = 299987712.

The previous prime is 1221141869. The next prime is 1221141973. The reversal of 1221141870 is 781411221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969301 + ... + 970559.

It is an arithmetic number, because the mean of its divisors is an integer number (35687925).

Almost surely, 21221141870 is an apocalyptic number.

1221141870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221141870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713020400).

1221141870 is an abundant number, since it is smaller than the sum of its proper divisors (2204898930).

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

1221141870 is a wasteful number, since it uses less digits than its factorization.

1221141870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1221141870 is about 34944.8403916801. The cubic root of 1221141870 is about 1068.8629928755.

The spelling of 1221141870 in words is "one billion, two hundred twenty-one million, one hundred forty-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 829 1170 1259 1658 2487 2518 3777 4145 4974 6295 7461 7554 8290 10777 11331 12435 12590 14922 16367 18885 21554 22662 24870 32331 32734 37305 37770 49101 53885 56655 64662 74610 81835 96993 98202 107770 113310 147303 161655 163670 193986 245505 294606 323310 484965 491010 736515 969930 1043711 1473030 2087422 3131133 5218555 6262266 9393399 10437110 13568243 15655665 18786798 27136486 31311330 40704729 46966995 67841215 81409458 93933990 122114187 135682430 203523645 244228374 407047290 610570935 1221141870