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1221422040 = 233254218059
BaseRepresentation
bin100100011001101…
…0110101111011000
310011010022200001100
41020303112233120
510000141001130
6321111151400
742160626126
oct11063265730
93133280040
101221422040
11577508503
122a1075560
13166084c47
14b8308916
157236cc60
hex48cd6bd8

1221422040 has 96 divisors (see below), whose sum is σ = 3979544400. Its totient is φ = 324898560.

The previous prime is 1221422003. The next prime is 1221422053. The reversal of 1221422040 is 402241221.

1221422040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 147531 + ... + 155589.

Almost surely, 21221422040 is an apocalyptic number.

1221422040 is a gapful number since it is divisible by the number (10) 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 1221422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989772200).

1221422040 is an abundant number, since it is smaller than the sum of its proper divisors (2758122360).

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

1221422040 is a wasteful number, since it uses less digits than its factorization.

1221422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497 (or 8490 counting only the distinct ones).

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

The square root of 1221422040 is about 34948.8489080828. The cubic root of 1221422040 is about 1068.9447307016.

Adding to 1221422040 its reverse (402241221), we get a palindrome (1623663261).

The spelling of 1221422040 in words is "one billion, two hundred twenty-one million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 421 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 7578 8059 8420 10104 12630 15156 16118 16840 18945 24177 25260 30312 32236 37890 40295 48354 50520 64472 72531 75780 80590 96708 120885 145062 151560 161180 193416 241770 290124 322360 362655 483540 580248 725310 967080 1450620 2901240 3392839 6785678 10178517 13571356 16964195 20357034 27142712 30535551 33928390 40714068 50892585 61071102 67856780 81428136 101785170 122142204 135713560 152677755 203570340 244284408 305355510 407140680 610711020 1221422040