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1220116404 = 2231319140949
BaseRepresentation
bin100100010111001…
…0111111110110100
310011000212100001110
41020232113332310
54444322211104
6321023155020
742143550453
oct11056277664
93130770043
101220116404
115767a6571
122a0745a70
13165a18890
14b8088b9a
15721b0e89
hex48b97fb4

1220116404 has 48 divisors (see below), whose sum is σ = 3082060800. Its totient is φ = 373445760.

The previous prime is 1220116393. The next prime is 1220116411. The reversal of 1220116404 is 4046110221.

It is a happy number.

It is a congruent number.

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, 9322 + ... + 50270.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 21220116404 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 1220116404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1220116404 is an abundant number, since it is smaller than the sum of its proper divisors (1861944396).

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

1220116404 is a wasteful number, since it uses less digits than its factorization.

1220116404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41160 (or 41158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1220116404 is about 34930.1646718134. The cubic root of 1220116404 is about 1068.5637129847.

Adding to 1220116404 its reverse (4046110221), we get a palindrome (5266226625).

The spelling of 1220116404 in words is "one billion, two hundred twenty million, one hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2483 4966 7449 9932 14898 29796 40949 81898 122847 163796 245694 491388 532337 1064674 1597011 2129348 3194022 6388044 7821259 15642518 23463777 31285036 46927554 93855108 101676367 203352734 305029101 406705468 610058202 1220116404