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1221222024 = 2332112140177
BaseRepresentation
bin100100011001010…
…0101111010001000
310011002221111200100
41020302211322020
510000113101044
6321103005400
742156134031
oct11062457210
93132844610
101221222024
11577391200
122a0b99860
13166014ba9
14b8295a88
157232d869
hex48ca5e88

1221222024 has 72 divisors (see below), whose sum is σ = 3635516430. Its totient is φ = 370064640.

The previous prime is 1221222019. The next prime is 1221222031. The reversal of 1221222024 is 4202221221.

It can be written as a sum of positive squares in only one way, i.e., 1155320100 + 65901924 = 33990^2 + 8118^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221221988 and 1221222006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61377 + ... + 78800.

Almost surely, 21221222024 is an apocalyptic number.

It is an amenable number.

1221222024 is an abundant number, since it is smaller than the sum of its proper divisors (2414294406).

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

1221222024 is a wasteful number, since it uses less digits than its factorization.

1221222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140211 (or 140193 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1221222024 is about 34945.9872374497. The cubic root of 1221222024 is about 1068.8863785748.

Adding to 1221222024 its reverse (4202221221), we get a palindrome (5423443245).

The spelling of 1221222024 in words is "one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 140177 280354 420531 560708 841062 1121416 1261593 1541947 1682124 2523186 3083894 3364248 4625841 5046372 6167788 9251682 10092744 12335576 13877523 16961417 18503364 27755046 33922834 37006728 50884251 55510092 67845668 101768502 111020184 135691336 152652753 203537004 305305506 407074008 610611012 1221222024