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402011220 = 223513895791
BaseRepresentation
bin10111111101100…
…011010001010100
31001000110021201110
4113331203101110
51310403324340
6103520255020
712651016242
oct2775432124
91030407643
10402011220
11196a19a86
12b2771470
1365396b80
143b569792
152545e680
hex17f63454

402011220 has 96 divisors (see below), whose sum is σ = 1226050560. Its totient is φ = 97827840.

The previous prime is 402011161. The next prime is 402011221. The reversal of 402011220 is 22110204.

It is a super-2 number, since 2×4020112202 = 323226042011776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 402011196 and 402011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402011221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66525 + ... + 72315.

It is an arithmetic number, because the mean of its divisors is an integer number (12771360).

Almost surely, 2402011220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613025280).

402011220 is an abundant number, since it is smaller than the sum of its proper divisors (824039340).

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

402011220 is a wasteful number, since it uses less digits than its factorization.

402011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 402011220 is about 20050.2174551799. The cubic root of 402011220 is about 738.0391354163.

Adding to 402011220 its reverse (22110204), we get a palindrome (424121424).

The spelling of 402011220 in words is "four hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 178 195 260 267 356 390 445 534 780 890 1068 1157 1335 1780 2314 2670 3471 4628 5340 5785 5791 6942 11570 11582 13884 17355 17373 23140 23164 28955 34710 34746 57910 69420 69492 75283 86865 115820 150566 173730 225849 301132 347460 376415 451698 515399 752830 903396 1030798 1129245 1505660 1546197 2061596 2258490 2576995 3092394 4516980 5153990 6184788 6700187 7730985 10307980 13400374 15461970 20100561 26800748 30923940 33500935 40201122 67001870 80402244 100502805 134003740 201005610 402011220