Search a number
-
+
222020020101000 = 2335311149239188927
BaseRepresentation
bin110010011110110100010000…
…011011100101111110001000
31002010002220110221021220211110
4302132310100123211332020
5213100034000121213000
62104110331132530320
764523263033031052
oct6236642033457610
91063086427256743
10222020020101000
116481918632a390
1220a98b736209a0
1396b65236cbc94
143cb7b7d56a8d2
151aa03b47de850
hexc9ed106e5f88

222020020101000 has 512 divisors, whose sum is σ = 763934146560000. Its totient is φ = 53237835392000.

The previous prime is 222020020100951. The next prime is 222020020101107. The reversal of 222020020101000 is 101020020222.

222020020101000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1175068537 + ... + 1175257463.

It is an arithmetic number, because the mean of its divisors is an integer number (1492058880000).

Almost surely, 2222020020101000 is an apocalyptic number.

222020020101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222020020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381967073280000).

222020020101000 is an abundant number, since it is smaller than the sum of its proper divisors (541914126459000).

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

222020020101000 is a wasteful number, since it uses less digits than its factorization.

222020020101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189350 (or 189336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222020020101000 its reverse (101020020222), we get a palindrome (222121040121222).

The spelling of 222020020101000 in words is "two hundred twenty-two trillion, twenty billion, twenty million, one hundred one thousand".