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10222000009974 = 2334123328370019
BaseRepresentation
bin1001010010111111111010…
…1011011111001011110110
31100012012202202102020111000
42110233332223133023312
52314434124000304344
633423531051424130
72103341455321134
oct224577653371366
940165682366430
1010222000009974
113291142578345
121191113155046
13591c1330107c
14274a66d94754
1512ad6e9e8a69
hex94bfeadf2f6

10222000009974 has 128 divisors (see below), whose sum is σ = 23452375564800. Its totient is φ = 3298217495040.

The previous prime is 10222000009973. The next prime is 10222000009993. The reversal of 10222000009974 is 47990000022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222000009973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145953937 + ... + 146023955.

It is an arithmetic number, because the mean of its divisors is an integer number (183221684100).

Almost surely, 210222000009974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222000009974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726187782400).

10222000009974 is an abundant number, since it is smaller than the sum of its proper divisors (13230375554826).

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

10222000009974 is a wasteful number, since it uses less digits than its factorization.

10222000009974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70587 (or 70581 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10222000009974 in words is "ten trillion, two hundred twenty-two billion, nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 233 246 283 369 466 566 699 738 849 1107 1398 1698 2097 2214 2547 4194 5094 6291 7641 9553 11603 12582 15282 19106 23206 28659 34809 57318 65939 69618 70019 85977 104427 131878 140038 171954 197817 208854 210057 257931 313281 395634 420114 515862 593451 626562 630171 1186902 1260342 1780353 1890513 2703499 2870779 3560706 3781026 5406998 5741558 8110497 8612337 16220994 16314427 17224674 19815377 24331491 25837011 32628854 39630754 48662982 48943281 51674022 59446131 72994473 77511033 97886562 118892262 145988946 146829843 155022066 178338393 293659686 356676786 440489529 535015179 668891507 812430457 880979058 1070030358 1337783014 1624860914 2006674521 2437291371 4013349042 4616982841 4874582742 6020023563 7311874113 9233965682 12040047126 13850948523 14623748226 18060070689 21935622339 27701897046 36120141378 41552845569 43871244678 83105691138 124658536707 189296296481 249317073414 378592592962 567888889443 1135777778886 1703666668329 3407333336658 5111000004987 10222000009974