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22020315264 = 27342973237
BaseRepresentation
bin10100100000100000…
…110101100010000000
32002211122002220210000
4110200200311202000
5330044200042024
614041015440000
71406453406603
oct244040654200
962748086700
1022020315264
11937a991862
124326686000
1320cc115a5c
1410cc74c33a
1588d2e2cc9
hex520835880

22020315264 has 160 divisors (see below), whose sum is σ = 67792754700. Its totient is φ = 7086901248.

The previous prime is 22020315199. The next prime is 22020315287. The reversal of 22020315264 is 46251302022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22020185664 + 129600 = 148392^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264054 + ... + 337290.

Almost surely, 222020315264 is an apocalyptic number.

22020315264 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 22020315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33896377350).

22020315264 is an abundant number, since it is smaller than the sum of its proper divisors (45772439436).

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

22020315264 is an equidigital number, since it uses as much as digits as its factorization.

22020315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73292 (or 73271 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22020315264 its reverse (46251302022), we get a palindrome (68271617286).

The spelling of 22020315264 in words is "twenty-two billion, twenty million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3456 3712 4176 4698 5184 5568 6264 8352 9396 10368 11136 12528 16704 18792 25056 33408 37584 50112 73237 75168 100224 146474 150336 219711 292948 300672 439422 585896 659133 878844 1171792 1318266 1757688 1977399 2123873 2343584 2636532 3515376 3954798 4247746 4687168 5273064 5932197 6371619 7030752 7909596 8495492 9374336 10546128 11864394 12743238 14061504 15819192 16990984 19114857 21092256 23728788 25486476 28123008 31638384 33981968 38229714 42184512 47457576 50972952 57344571 63276768 67963936 76459428 84369024 94915152 101945904 114689142 126553536 135927872 152918856 172033713 189830304 203891808 229378284 253107072 271855744 305837712 344067426 379660608 407783616 458756568 611675424 688134852 759321216 815567232 917513136 1223350848 1376269704 1835026272 2446701696 2752539408 3670052544 5505078816 7340105088 11010157632 22020315264