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1221002208 = 25333145587
BaseRepresentation
bin100100011000111…
…0000001111100000
310011002112100011000
41020301300033200
510000034032313
6321054152000
742154230126
oct11061601740
93132470130
101221002208
11577251038
122a0ab2600
13165c68b1a
14b8239916
15722d8673
hex48c703e0

1221002208 has 96 divisors (see below), whose sum is σ = 3676216320. Its totient is φ = 393863040.

The previous prime is 1221002207. The next prime is 1221002213. The reversal of 1221002208 is 8022001221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221002201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3991 + ... + 49577.

It is an arithmetic number, because the mean of its divisors is an integer number (38293920).

Almost surely, 21221002208 is an apocalyptic number.

1221002208 is a gapful number since it is divisible by the number (18) 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 1221002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838108160).

1221002208 is an abundant number, since it is smaller than the sum of its proper divisors (2455214112).

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

1221002208 is a wasteful number, since it uses less digits than its factorization.

1221002208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45637 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1221002208 is about 34942.8420137802. The cubic root of 1221002208 is about 1068.8222427005.

Adding to 1221002208 its reverse (8022001221), we get a palindrome (9243003429).

The spelling of 1221002208 in words is "one billion, two hundred twenty-one million, two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 45587 91174 136761 182348 273522 364696 410283 547044 729392 820566 1094088 1230849 1413197 1458784 1641132 2188176 2461698 2826394 3282264 4239591 4376352 4923396 5652788 6564528 8479182 9846792 11305576 12718773 13129056 16958364 19693584 22611152 25437546 33916728 38156319 39387168 45222304 50875092 67833456 76312638 101750184 135666912 152625276 203500368 305250552 407000736 610501104 1221002208