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40220000002204 = 2211101129717593967
BaseRepresentation
bin10010010010100011100101…
…10100000010000010011100
312021101222211221202002002021
421021101302310002002130
520232431030000032304
6221312451331505524
711320541044154041
oct1111216264020234
9167358757662067
1040220000002204
11118a722a516a10
124616aa47582a4
131959964292569
149d09308831c8
1549b333e0ca54
hex249472d0209c

40220000002204 has 96 divisors (see below), whose sum is σ = 77667348971520. Its totient is φ = 18072014976000.

The previous prime is 40220000002153. The next prime is 40220000002271.

40220000002204 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10138641829 + ... + 10138645795.

It is an arithmetic number, because the mean of its divisors is an integer number (809034885120).

Almost surely, 240220000002204 is an apocalyptic number.

40220000002204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40220000002204 is a deficient number, since it is larger than the sum of its proper divisors (37447348969316).

40220000002204 is a wasteful number, since it uses less digits than its factorization.

40220000002204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 4022000000 and 2204, that added together give a palindrome (4022002204).

The spelling of 40220000002204 in words is "forty trillion, two hundred twenty billion, two thousand, two hundred four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 1297 1759 2222 2594 3518 3967 4444 5188 7036 7934 14267 15868 19349 28534 38698 43637 57068 77396 87274 130997 174548 177659 261994 355318 400667 523988 710636 801334 1440967 1602668 1954249 2281423 2881934 3908498 4407337 4562846 5145199 5763868 6977953 7816996 8814674 9125692 10290398 13955906 17629348 20580796 25095653 27911812 50191306 56597189 76757483 100382612 113194378 153514966 226388756 230423723 307029932 460847446 519665099 704773253 921694892 1039330198 1409546506 2078660396 2534660953 2819093012 5069321906 5716316089 7752505783 9050405041 10138643812 11432632178 15505011566 18100810082 22865264356 31010023132 36201620164 99554455451 199108910902 398217821804 914090909141 1828181818282 3656363636564 10055000000551 20110000001102 40220000002204