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226206422016 = 2103538713669
BaseRepresentation
bin1101001010101011110…
…1000001010000000000
3210121212201021212012020
43102222331001100000
512201232321001031
6251530124401440
722225414601511
oct3225275012000
9717781255166
10226206422016
1187a2a69aa13
1237a100a6280
131843c787c73
14ad3c78aa08
155d3e000096
hex34aaf41400

226206422016 has 88 divisors (see below), whose sum is σ = 603078624480. Its totient is φ = 75382628352.

The previous prime is 226206422003. The next prime is 226206422053. The reversal of 226206422016 is 610224602622.

It is a super-2 number, since 2×2262064220162 (a number of 24 digits) contains 22 as substring.

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, 16542030 + ... + 16555698.

Almost surely, 2226206422016 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 226206422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301539312240).

226206422016 is an abundant number, since it is smaller than the sum of its proper divisors (376872202464).

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

226206422016 is a wasteful number, since it uses less digits than its factorization.

226206422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19079 (or 19061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 226206422016 in words is "two hundred twenty-six billion, two hundred six million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 5387 10774 13669 16161 21548 27338 32322 41007 43096 54676 64644 82014 86192 109352 129288 164028 172384 218704 258576 328056 344768 437408 517152 656112 689536 874816 1034304 1312224 1379072 1749632 2068608 2624448 2758144 3499264 4137216 5248896 5516288 6998528 8274432 10497792 13997056 16548864 20995584 41991168 73634903 147269806 220904709 294539612 441809418 589079224 883618836 1178158448 1767237672 2356316896 3534475344 4712633792 7068950688 9425267584 14137901376 18850535168 28275802752 37701070336 56551605504 75402140672 113103211008 226206422016