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1221820488 = 233272346321
BaseRepresentation
bin100100011010011…
…1000000001001000
310011011001220121200
41020310320001020
510000241223423
6321123504200
742164205600
oct11064700110
93134056550
101221820488
1157775a8a9
122a1228060
13166194405
14b83adc00
15723ead43
hex48d38048

1221820488 has 72 divisors (see below), whose sum is σ = 3849369030. Its totient is φ = 349090560.

The previous prime is 1221820429. The next prime is 1221820493. The reversal of 1221820488 is 8840281221.

It can be written as a sum of positive squares in only one way, i.e., 742998564 + 478821924 = 27258^2 + 21882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169633 + ... + 176688.

Almost surely, 21221820488 is an apocalyptic number.

1221820488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1221820488 is an abundant number, since it is smaller than the sum of its proper divisors (2627548542).

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

1221820488 is a wasteful number, since it uses less digits than its factorization.

1221820488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346347 (or 346333 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1221820488 is about 34954.5488885209. The cubic root of 1221820488 is about 1069.0609538607.

The spelling of 1221820488 in words is "one billion, two hundred twenty-one million, eight hundred twenty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 346321 692642 1038963 1385284 2077926 2424247 2770568 3116889 4155852 4848494 6233778 7272741 8311704 9696988 12467556 14545482 16969729 19393976 21818223 24935112 29090964 33939458 43636446 50909187 58181928 67878916 87272892 101818374 135757832 152727561 174545784 203636748 305455122 407273496 610910244 1221820488