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2122985436 = 22311132591613
BaseRepresentation
bin111111010001010…
…0010111111011100
312110221202211112020
41332202202333130
513321441013221
6550354540140
7103416035625
oct17642427734
95427684466
102122985436
1199a408420
124b2b97650
1327aaa8100
14161d50a4c
15c65a7ac6
hex7e8a2fdc

2122985436 has 144 divisors (see below), whose sum is σ = 5954497920. Its totient is φ = 583415040.

The previous prime is 2122985401. The next prime is 2122985443. The reversal of 2122985436 is 6345892212.

It is a super-2 number, since 2×21229854362 = 9014134322936220192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315366 + ... + 1316978.

It is an arithmetic number, because the mean of its divisors is an integer number (41350680).

Almost surely, 22122985436 is an apocalyptic number.

2122985436 is a gapful number since it is divisible by the number (26) 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 2122985436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977248960).

2122985436 is an abundant number, since it is smaller than the sum of its proper divisors (3831512484).

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

2122985436 is a wasteful number, since it uses less digits than its factorization.

2122985436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1701 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2122985436 is about 46075.8660906119. The cubic root of 2122985436 is about 1285.2343914762.

The spelling of 2122985436 in words is "two billion, one hundred twenty-two million, nine hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 169 177 236 286 338 354 429 507 572 649 676 708 767 858 1014 1298 1534 1613 1716 1859 1947 2028 2301 2596 3068 3226 3718 3894 4602 4839 5577 6452 7436 7788 8437 9204 9678 9971 11154 16874 17743 19356 19942 20969 22308 25311 29913 33748 35486 39884 41938 50622 53229 59826 62907 70972 83876 95167 101244 106458 109681 119652 125814 190334 212916 219362 230659 251628 272597 285501 329043 380668 438724 461318 545194 571002 658086 691977 817791 922636 1046837 1090388 1142004 1237171 1316172 1383954 1635582 2093674 2474342 2767908 2998567 3140511 3271164 3711513 4187348 4948684 5997134 6281022 7423026 8995701 11994268 12562044 13608881 14846052 16083223 17991402 27217762 32166446 35982804 40826643 48249669 54435524 64332892 81653286 96499338 163306572 176915453 192998676 353830906 530746359 707661812 1061492718 2122985436