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22300835085376 = 2661296772
BaseRepresentation
bin1010001001000010100010…
…10110100111110001000000
32220221221100112121010010221
411010201101112213301000
510410334102240213001
6115232510123032424
74461116324404501
oct504412126476100
986857315533127
1022300835085376
11711880502a121
12260207466b714
13c59c62692463
1457151ab0cba8
1528a1689ca1a1
hex1448515a7c40

22300835085376 has 63 divisors (see below), whose sum is σ = 44995224777087. Its totient is φ = 10966490442240.

The previous prime is 22300835085341. The next prime is 22300835085409. The reversal of 22300835085376 is 67358053800322.

The square root of 22300835085376 is 4722376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3661099560000 + 18639735525376 = 1913400^2 + 4317376^2 .

It is a super-2 number, since 2×223008350853762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2304514650 + ... + 2304524326.

Almost surely, 222300835085376 is an apocalyptic number.

22300835085376 is the 4722376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300835085376

22300835085376 is an abundant number, since it is smaller than the sum of its proper divisors (22694389691711).

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

22300835085376 is an frugal number, since it uses more digits than its factorization.

22300835085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

Adding to 22300835085376 its reverse (67358053800322), we get a palindrome (89658888885698).

The spelling of 22300835085376 in words is "twenty-two trillion, three hundred billion, eight hundred thirty-five million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3721 3904 7442 9677 14884 19354 29768 38708 59536 77416 119072 154832 238144 309664 590297 619328 1180594 2361188 4722376 9444752 18889504 36008117 37779008 72016234 93644329 144032468 187288658 288064936 374577316 576129872 749154632 1152259744 1498309264 2304519488 2996618528 5712304069 5993237056 11424608138 22849216276 45698432552 91396865104 182793730208 348450548209 365587460416 696901096418 1393802192836 2787604385672 5575208771344 11150417542688 22300835085376