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1002225403350 = 232523313672251
BaseRepresentation
bin11101001010110010100…
…10100000010111010110
310112210220210220121222100
432211121102200113112
5112410024200401400
62044225504342530
7132260036240313
oct16453122402726
93483823817870
101002225403350
11357050126416
121422a3314a46
1373681352b62
1436717c17d0a
151b10bd00100
hexe9594a05d6

1002225403350 has 72 divisors (see below), whose sum is σ = 2693462341752. Its totient is φ = 267179040000.

The previous prime is 1002225403349. The next prime is 1002225403393. The reversal of 1002225403350 is 533045222001.

It is a happy number.

1002225403350 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 225 + 403 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154725 + ... + 1826975.

It is an arithmetic number, because the mean of its divisors is an integer number (37409199191).

Almost surely, 21002225403350 is an apocalyptic number.

1002225403350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002225403350 is an abundant number, since it is smaller than the sum of its proper divisors (1691236938402).

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

1002225403350 is a wasteful number, since it uses less digits than its factorization.

1002225403350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675582 (or 675574 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 1002225403350 in words is "one trillion, two billion, two hundred twenty-five million, four hundred three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 3313 6626 9939 16565 19878 29817 33130 49695 59634 82825 99390 149085 165650 248475 298170 496950 672251 745425 1344502 1490850 2016753 3361255 4033506 6050259 6722510 10083765 12100518 16806275 20167530 30251295 33612550 50418825 60502590 100837650 151256475 302512950 2227167563 4454335126 6681502689 11135837815 13363005378 20044508067 22271675630 33407513445 40089016134 55679189075 66815026890 100222540335 111358378150 167037567225 200445080670 334075134450 501112701675 1002225403350