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4002220000 = 2554972063
BaseRepresentation
bin1110111010001101…
…0000011111100000
3101022220212211201101
43232203100133200
531144032020000
61501045244144
7201115210612
oct35643203740
911286784641
104002220000
111774170139
12938403654
134ba21b01c
1429d770db2
15186562e6a
hexee8d07e0

4002220000 has 120 divisors (see below), whose sum is σ = 9952389216. Its totient is φ = 1583616000.

The previous prime is 4002219997. The next prime is 4002220003. The reversal of 4002220000 is 222004.

It is a happy number.

4002220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4002219997) and next prime (4002220003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1938969 + ... + 1941031.

Almost surely, 24002220000 is an apocalyptic number.

4002220000 is a gapful number since it is divisible by the number (40) 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 4002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976194608).

4002220000 is an abundant number, since it is smaller than the sum of its proper divisors (5950169216).

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

4002220000 is an equidigital number, since it uses as much as digits as its factorization.

4002220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4002220000 is about 63263.1014099056. The cubic root of 4002220000 is about 1587.6946668508.

Adding to 4002220000 its reverse (222004), we get a palindrome (4002442004).

The spelling of 4002220000 in words is "four billion, two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 776 800 970 1000 1250 1552 1940 2000 2063 2425 2500 3104 3880 4000 4126 4850 5000 7760 8252 9700 10000 10315 12125 15520 16504 19400 20000 20630 24250 33008 38800 41260 48500 51575 60625 66016 77600 82520 97000 103150 121250 165040 194000 200111 206300 242500 257875 330080 388000 400222 412600 485000 515750 800444 825200 970000 1000555 1031500 1289375 1600888 1650400 1940000 2001110 2063000 2578750 3201776 4002220 4126000 5002775 5157500 6403552 8004440 8252000 10005550 10315000 16008880 20011100 20630000 25013875 32017760 40022200 41260000 50027750 80044400 100055500 125069375 160088800 200111000 250138750 400222000 500277500 800444000 1000555000 2001110000 4002220000