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2026225664 = 2141923283
BaseRepresentation
bin111100011000101…
…1100000000000000
312020012200221001222
41320301130000000
513122203210124
6533021014212
7101132430311
oct17061340000
95205627058
102026225664
1194a82a371
124866b4368
13263a2a3c8
14153164608
15bcd4325e
hex78c5c000

2026225664 has 120 divisors (see below), whose sum is σ = 4466797440. Its totient is φ = 914817024.

The previous prime is 2026225639. The next prime is 2026225693. The reversal of 2026225664 is 4665226202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7159667 + ... + 7159949.

It is an arithmetic number, because the mean of its divisors is an integer number (37223312).

Almost surely, 22026225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233398720).

2026225664 is an abundant number, since it is smaller than the sum of its proper divisors (2440571776).

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

2026225664 is an equidigital number, since it uses as much as digits as its factorization.

2026225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2026225664 is about 45013.6164288096. The cubic root of 2026225664 is about 1265.4041971024.

The spelling of 2026225664 in words is "two billion, twenty-six million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 283 304 368 437 512 566 608 736 874 1024 1132 1216 1472 1748 2048 2264 2432 2944 3496 4096 4528 4864 5377 5888 6509 6992 8192 9056 9728 10754 11776 13018 13984 16384 18112 19456 21508 23552 26036 27968 36224 38912 43016 47104 52072 55936 72448 77824 86032 94208 104144 111872 123671 144896 155648 172064 188416 208288 223744 247342 289792 311296 344128 376832 416576 447488 494684 579584 688256 833152 894976 989368 1159168 1376512 1666304 1789952 1978736 2318336 2753024 3332608 3579904 3957472 4636672 5506048 6665216 7159808 7914944 11012096 13330432 15829888 22024192 26660864 31659776 44048384 53321728 63319552 88096768 106643456 126639104 253278208 506556416 1013112832 2026225664