Search a number
-
+
4222311100020 = 223251338916272851
BaseRepresentation
bin111101011100010101010…
…110100110111001110100
3112221122112010020200220100
4331130111112212321310
51023134243120200040
612551411500234100
7614023543116006
oct75342526467164
915848463220810
104222311100020
1113887435a4502
1258238b53b930
13248215552b30
1410850a624376
1574c73010b30
hex3d7155a6e74

4222311100020 has 288 divisors, whose sum is σ = 13841692824960. Its totient is φ = 1035665740800.

The previous prime is 4222311100013. The next prime is 4222311100039. The reversal of 4222311100020 is 200011132224.

It is a happy number.

4222311100020 is a `hidden beast` number, since 422 + 231 + 1 + 10 + 0 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×42223111000202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4222311099966 and 4222311100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1480991595 + ... + 1480994445.

It is an arithmetic number, because the mean of its divisors is an integer number (48061433420).

Almost surely, 24222311100020 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 4222311100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920846412480).

4222311100020 is an abundant number, since it is smaller than the sum of its proper divisors (9619381724940).

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

4222311100020 is a wasteful number, since it uses less digits than its factorization.

4222311100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4222311100020 its reverse (200011132224), we get a palindrome (4422322232244).

It can be divided in two parts, 422231 and 1100020, that added together give a palindrome (1522251).

The spelling of 4222311100020 in words is "four trillion, two hundred twenty-two billion, three hundred eleven million, one hundred thousand, twenty".