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20224000034304 = 293112633454603
BaseRepresentation
bin1001001100100110001000…
…10101101000011000000000
32122121101200100001020220120
410212103010111220120000
510122322223002044204
6111002435524140240
74155064400631243
oct446230425503000
978541610036816
1020224000034304
116497a4a865230
122327668837680
13b39165911a31
144dcbbd98725a
152511153066d9
hex1264c4568600

20224000034304 has 160 divisors (see below), whose sum is σ = 58798452265344. Its totient is φ = 6126143815680.

The previous prime is 20224000034257. The next prime is 20224000034321. The reversal of 20224000034304 is 40343000042202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44259867 + ... + 44714469.

Almost surely, 220224000034304 is an apocalyptic number.

20224000034304 is a gapful number since it is divisible by the number (24) 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 20224000034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29399226132672).

20224000034304 is an abundant number, since it is smaller than the sum of its proper divisors (38574452231040).

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

20224000034304 is a wasteful number, since it uses less digits than its factorization.

20224000034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457268 (or 457252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20224000034304 its reverse (40343000042202), we get a palindrome (60567000076506).

The spelling of 20224000034304 in words is "twenty trillion, two hundred twenty-four billion, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2633 2816 4224 5266 5632 7899 8448 10532 15798 16896 21064 28963 31596 42128 57926 63192 84256 86889 115852 126384 168512 173778 231704 252768 337024 347556 454603 463408 505536 674048 695112 909206 926816 1011072 1348096 1363809 1390224 1818412 1853632 2022144 2727618 2780448 3636824 3707264 4044288 5000633 5455236 5560896 7273648 7414528 10001266 10910472 11121792 14547296 14829056 15001899 20002532 21820944 22243584 29094592 30003798 40005064 43641888 44487168 58189184 60007596 80010128 87283776 116378368 120015192 160020256 174567552 232756736 240030384 320040512 349135104 480060768 640081024 698270208 960121536 1196969699 1280162048 1920243072 2393939398 2560324096 3590909097 3840486144 4787878796 7181818194 7680972288 9575757592 13166666689 14363636388 19151515184 26333333378 28727272776 38303030368 39500000067 52666666756 57454545552 76606060736 79000000134 105333333512 114909091104 153212121472 158000000268 210666667024 229818182208 306424242944 316000000536 421333334048 459636364416 612848485888 632000001072 842666668096 919272728832 1264000002144 1685333336192 1838545457664 2528000004288 3370666672384 5056000008576 6741333344768 10112000017152 20224000034304