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40222410100 = 22523117337487
BaseRepresentation
bin100101011101011100…
…010100010101110100
310211211011120010210121
4211131130110111310
51124333414110400
630251121501324
72622514562515
oct453534242564
9124734503717
1040222410100
1116070558044
1279664a1844
133a40184c82
141d37d44a0c
1510a62bb21a
hex95d714574

40222410100 has 72 divisors (see below), whose sum is σ = 90162229248. Its totient is φ = 15558902400.

The previous prime is 40222410083. The next prime is 40222410101. The reversal of 40222410100 is 101422204.

40222410100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222410101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5368557 + ... + 5376043.

It is an arithmetic number, because the mean of its divisors is an integer number (1252253184).

Almost surely, 240222410100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45081114624).

40222410100 is an abundant number, since it is smaller than the sum of its proper divisors (49939819148).

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

40222410100 is a wasteful number, since it uses less digits than its factorization.

40222410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9265 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40222410100 its reverse (101422204), we get a palindrome (40323832304).

The spelling of 40222410100 in words is "forty billion, two hundred twenty-two million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1733 3100 3466 6932 7487 8665 14974 17330 29948 34660 37435 43325 53723 74870 86650 107446 149740 173300 187175 214892 232097 268615 374350 464194 537230 748700 928388 1074460 1160485 1343075 2320970 2686150 4641940 5372300 5802425 11604850 12974971 23209700 25949942 51899884 64874855 129749710 259499420 324374275 402224101 648748550 804448202 1297497100 1608896404 2011120505 4022241010 8044482020 10055602525 20111205050 40222410100