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226606226440 = 235112729188719
BaseRepresentation
bin1101001100001011001…
…0001001110000001000
3210122220120121000202111
43103002302021300020
512203042143221230
6252033525512104
722241341100206
oct3230262116010
9718816530674
10226606226440
11881153419a0
1237b01b72634
13184a455b529
14ad79900076
155d6417592a
hex34c2c89c08

226606226440 has 64 divisors (see below), whose sum is σ = 556422048000. Its totient is φ = 82371632640.

The previous prime is 226606226411. The next prime is 226606226471. The reversal of 226606226440 is 44622606622.

It is a happy number.

It is a super-2 number, since 2×2266062264402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 226606226393 and 226606226402.

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, 1106401 + ... + 1295119.

It is an arithmetic number, because the mean of its divisors is an integer number (8694094500).

Almost surely, 2226606226440 is an apocalyptic number.

226606226440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226606226440 is an abundant number, since it is smaller than the sum of its proper divisors (329815821560).

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

226606226440 is a wasteful number, since it uses less digits than its factorization.

226606226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191470 (or 191466 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 226606226440 in words is "two hundred twenty-six billion, six hundred six million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2729 5458 10916 13645 21832 27290 30019 54580 60038 109160 120076 150095 188719 240152 300190 377438 600380 754876 943595 1200760 1509752 1887190 2075909 3774380 4151818 7548760 8303636 10379545 16607272 20759090 41518180 83036360 515014151 1030028302 2060056604 2575070755 4120113208 5150141510 5665155661 10300283020 11330311322 20600566040 22660622644 28325778305 45321245288 56651556610 113303113220 226606226440