Search a number
-
+
222122311950 = 2352711172514507
BaseRepresentation
bin1100111011011110000…
…1011000000100001110
3210020100002022120102110
43032313201120010032
512114401302440300
6250012552004450
722022253333210
oct3166741300416
9706302276373
10222122311950
1186224288640
1237070390726
1317c3b5c74a6
14aa721c05b0
155ba06b3550
hex33b785810e

222122311950 has 384 divisors, whose sum is σ = 730249261056. Its totient is φ = 43257600000.

The previous prime is 222122311949. The next prime is 222122311951. The reversal of 222122311950 is 59113221222.

It is an interprime number because it is at equal distance from previous prime (222122311949) and next prime (222122311951).

It is a super-2 number, since 2×2221223119502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122311951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49281597 + ... + 49286103.

It is an arithmetic number, because the mean of its divisors is an integer number (1901690784).

Almost surely, 2222122311950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222122311950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365124630528).

222122311950 is an abundant number, since it is smaller than the sum of its proper divisors (508126949106).

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

222122311950 is a wasteful number, since it uses less digits than its factorization.

222122311950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 222122311950 in words is "two hundred twenty-two billion, one hundred twenty-two million, three hundred eleven thousand, nine hundred fifty".