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400220420 = 225163293419
BaseRepresentation
bin10111110110101…
…110000100000100
31000220002022012112
4113312232010010
51304424023140
6103414040152
712626550245
oct2766560404
91026068175
10400220420
11195a06586
12b2049058
1364bbaa22
143b220ccc
1525208c65
hex17dae104

400220420 has 48 divisors (see below), whose sum is σ = 850530240. Its totient is φ = 158184576.

The previous prime is 400220419. The next prime is 400220459. The reversal of 400220420 is 24022004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400220395 and 400220404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954971 + ... + 955389.

It is an arithmetic number, because the mean of its divisors is an integer number (17719380).

Almost surely, 2400220420 is an apocalyptic number.

It is an amenable number.

400220420 is an abundant number, since it is smaller than the sum of its proper divisors (450309820).

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

400220420 is a wasteful number, since it uses less digits than its factorization.

400220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 400220420 is about 20005.5097410688. The cubic root of 400220420 is about 736.9416139133.

Adding to 400220420 its reverse (24022004), we get a palindrome (424242424).

The spelling of 400220420 in words is "four hundred million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 163 293 326 419 586 652 815 838 1172 1465 1630 1676 2095 2930 3260 4190 5860 8380 47759 68297 95518 122767 136594 191036 238795 245534 273188 341485 477590 491068 613835 682970 955180 1227670 1365940 2455340 20011021 40022042 80044084 100055105 200110210 400220420