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2210144442 = 2311314126347
BaseRepresentation
bin1000001110111100…
…0010000010111010
312201000202222012120
42003233002002322
514011244110232
61003151022110
7105524626542
oct20357020272
95630688176
102210144442
11a34629260
1251820a936
13292b73b9c
1416d75c322
15ce07292c
hex83bc20ba

2210144442 has 64 divisors (see below), whose sum is σ = 5099286528. Its totient is φ = 632304000.

The previous prime is 2210144407. The next prime is 2210144471. The reversal of 2210144442 is 2444410122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70713 + ... + 97059.

It is an arithmetic number, because the mean of its divisors is an integer number (79676352).

Almost surely, 22210144442 is an apocalyptic number.

2210144442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210144442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549643264).

2210144442 is an abundant number, since it is smaller than the sum of its proper divisors (2889142086).

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

2210144442 is a wasteful number, since it uses less digits than its factorization.

2210144442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26435.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2210144442 is about 47012.1733384025. The cubic root of 2210144442 is about 1302.5874388171.

Adding to 2210144442 its reverse (2444410122), we get a palindrome (4654554564).

It can be divided in two parts, 221014 and 4442, that added together give a triangular number (225456 = T671).

The spelling of 2210144442 in words is "two billion, two hundred ten million, one hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 123 186 246 341 451 682 902 1023 1271 1353 2046 2542 2706 3813 7626 13981 26347 27962 41943 52694 79041 83886 158082 289817 579634 816757 869451 1080227 1633514 1738902 2160454 2450271 3240681 4900542 6481362 8984327 11882497 17968654 23764994 26952981 33487037 35647491 53905962 66974074 71294982 100461111 200922222 368357407 736714814 1105072221 2210144442