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226005400629 = 3299725187273
BaseRepresentation
bin1101001001111011111…
…0001011110000110101
3210121100201000220200200
43102132332023300311
512200324340310004
6251454144031113
722220424131361
oct3223676136065
9717321026620
10226005400629
118793717a638
1237974902499
1318409c33ab8
14ad1dbc02a1
155d2b543239
hex349ef8bc35

226005400629 has 12 divisors (see below), whose sum is σ = 326779692876. Its totient is φ = 150519137472.

The previous prime is 226005400603. The next prime is 226005400637. The reversal of 226005400629 is 926004500622.

226005400629 is a `hidden beast` number, since 2 + 2 + 600 + 5 + 40 + 0 + 6 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202591810404 + 23413590225 = 450102^2 + 153015^2 .

It is not a de Polignac number, because 226005400629 - 219 = 226004876341 is a prime.

It is a super-2 number, since 2×2260054006292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226005400593 and 226005400602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005400429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12584664 + ... + 12602609.

It is an arithmetic number, because the mean of its divisors is an integer number (27231641073).

Almost surely, 2226005400629 is an apocalyptic number.

It is an amenable number.

226005400629 is a deficient number, since it is larger than the sum of its proper divisors (100774292247).

226005400629 is a wasteful number, since it uses less digits than its factorization.

226005400629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25188276 (or 25188273 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 226005400629 in words is "two hundred twenty-six billion, five million, four hundred thousand, six hundred twenty-nine".

Divisors: 1 3 9 997 2991 8973 25187273 75561819 226685457 25111711181 75335133543 226005400629