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40222340214 = 2373711511823
BaseRepresentation
bin100101011101011100…
…000011010001110110
310211211011102120221020
4211131130003101312
51124333404341324
630251120202010
72622514152000
oct453534032166
9124734376836
1040222340214
111607050a591
127966469306
133a4015c214
141d37d27370
1510a62a5679
hex95d703476

40222340214 has 128 divisors (see below), whose sum is σ = 95816908800. Its totient is φ = 11249028000.

The previous prime is 40222340209. The next prime is 40222340219. The reversal of 40222340214 is 41204322204.

40222340214 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 (40222340209) and next prime (40222340219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222340219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22062907 + ... + 22064729.

It is an arithmetic number, because the mean of its divisors is an integer number (748569600).

Almost surely, 240222340214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222340214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47908454400).

40222340214 is an abundant number, since it is smaller than the sum of its proper divisors (55594568586).

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

40222340214 is a wasteful number, since it uses less digits than its factorization.

40222340214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40222340214 its reverse (41204322204), we get a palindrome (81426662418).

The spelling of 40222340214 in words is "forty billion, two hundred twenty-two million, three hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 151 213 294 302 343 426 453 497 686 906 994 1029 1057 1491 1823 2058 2114 2982 3171 3479 3646 5469 6342 6958 7399 10437 10721 10938 12761 14798 20874 21442 22197 24353 25522 32163 38283 44394 48706 51793 64326 73059 75047 76566 89327 103586 129433 146118 150094 155379 178654 225141 258866 267981 275273 310758 388299 450282 525329 535962 550546 625289 776598 825819 906031 1050658 1250578 1575987 1651638 1812062 1875867 1926911 2718093 3151974 3677303 3751734 3853822 5436186 5780733 6342217 7354606 11031909 11561466 12684434 13488377 19026651 19544383 22063818 26976754 38053302 39088766 40465131 44395519 58633149 80930262 88791038 94418639 117266298 133186557 136810681 188837278 266373114 273621362 283255917 410432043 566511834 820864086 957674767 1915349534 2873024301 5746048602 6703723369 13407446738 20111170107 40222340214