Search a number
-
+
122210000 = 2454112101
BaseRepresentation
bin1110100100011…
…00011011010000
322111221220121022
413102030123100
5222241210000
620043215012
73012524243
oct722143320
9274856538
10122210000
1162a91200
1234b17468
131c41bb13
141233325a
15aae0585
hex748c6d0

122210000 has 150 divisors (see below), whose sum is σ = 328446426. Its totient is φ = 44000000.

The previous prime is 122209993. The next prime is 122210027. The reversal of 122210000 is 12221.

It can be written as a sum of positive squares in 5 ways, for example, as 17106496 + 105103504 = 4136^2 + 10252^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 122210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209950 + ... + 1210050.

Almost surely, 2122210000 is an apocalyptic number.

122210000 is a gapful number since it is divisible by the number (10) 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 122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164223213).

122210000 is an abundant number, since it is smaller than the sum of its proper divisors (206236426).

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

122210000 is a wasteful number, since it uses less digits than its factorization.

122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 122210000 is about 11054.8631832330. The cubic root of 122210000 is about 496.2519748159.

Adding to 122210000 its reverse (12221), we get a palindrome (122222221).

Multiplying 122210000 by its reverse (12221), we get a square (1493528410000 = 12221002).

122210000 divided by its reverse (12221) gives a 4-th power (10000 = 104).

The spelling of 122210000 in words is "one hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 121 125 176 200 202 220 242 250 275 400 404 440 484 500 505 550 605 625 808 880 968 1000 1010 1100 1111 1210 1250 1375 1616 1936 2000 2020 2200 2222 2420 2500 2525 2750 3025 4040 4400 4444 4840 5000 5050 5500 5555 6050 6875 8080 8888 9680 10000 10100 11000 11110 12100 12221 12625 13750 15125 17776 20200 22000 22220 24200 24442 25250 27500 27775 30250 40400 44440 48400 48884 50500 55000 55550 60500 61105 63125 75625 88880 97768 101000 110000 111100 121000 122210 126250 138875 151250 195536 202000 222200 242000 244420 252500 277750 302500 305525 444400 488840 505000 555500 605000 611050 694375 977680 1010000 1111000 1210000 1222100 1388750 1527625 2222000 2444200 2777500 3055250 4888400 5555000 6110500 7638125 11110000 12221000 15276250 24442000 30552500 61105000 122210000