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3314422100 = 2252119731063
BaseRepresentation
bin1100010110001110…
…0001000101010100
322112222200002101002
43011203201011110
523241443001400
61304515322432
7145064060123
oct30543410524
98488602332
103314422100
1114509a5420
12785bb0418
1340a891912
14236291aba
15145ea0ed5
hexc58e1154

3314422100 has 72 divisors (see below), whose sum is σ = 7927284288. Its totient is φ = 1192780800.

The previous prime is 3314422091. The next prime is 3314422117. The reversal of 3314422100 is 12244133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 91169 + ... + 122231.

Almost surely, 23314422100 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 3314422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963642144).

3314422100 is an abundant number, since it is smaller than the sum of its proper divisors (4612862188).

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

3314422100 is a wasteful number, since it uses less digits than its factorization.

3314422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185 (or 31178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3314422100 is about 57571.0178822643. The cubic root of 3314422100 is about 1490.9712599024.

Adding to 3314422100 its reverse (12244133), we get a palindrome (3326666233).

The spelling of 3314422100 in words is "three billion, three hundred fourteen million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 26675 31063 53350 62126 106700 124252 155315 310630 341693 621260 683386 776575 1366772 1553150 1708465 3013111 3106300 3416930 6026222 6833860 8542325 12052444 15065555 17084650 30131110 33144221 34169300 60262220 66288442 75327775 132576884 150655550 165721105 301311100 331442210 662884420 828605525 1657211050 3314422100