Search a number
-
+
3345523226100 = 22325211337931639
BaseRepresentation
bin110000101011110000101…
…110010011010111110100
3102211211101021011210112100
4300223300232103113310
5414303112421213400
611040525005222100
7463464120135306
oct60536056232764
912754337153470
103345523226100
11107a912709590
12460474b61930
131b3634a97693
14b7cd1d87976
155c058746100
hex30af0b935f4

3345523226100 has 108 divisors (see below), whose sum is σ = 11439661877280. Its totient is φ = 811035931200.

The previous prime is 3345523226099. The next prime is 3345523226183. The reversal of 3345523226100 is 16223255433.

3345523226100 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 5 + 2 + 32 + 2 + 610 + 0 = 666.

It is a super-2 number, since 2×33455232261002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168955920 + ... + 168975719.

It is an arithmetic number, because the mean of its divisors is an integer number (105922795160).

Almost surely, 23345523226100 is an apocalyptic number.

3345523226100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3345523226100 is an abundant number, since it is smaller than the sum of its proper divisors (8094138651180).

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

3345523226100 is a wasteful number, since it uses less digits than its factorization.

3345523226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337931670 (or 337931660 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3345523226100 in words is "three trillion, three hundred forty-five billion, five hundred twenty-three million, two hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 337931639 675863278 1013794917 1351726556 1689658195 2027589834 3041384751 3379316390 3717248029 4055179668 5068974585 6082769502 6758632780 7434496058 8448290975 10137949170 11151744087 12165539004 14868992116 15206923755 16896581950 18586240145 20275898340 22303488174 25344872925 30413847510 33455232261 33793163900 37172480290 44606976348 50689745850 55758720435 60827695020 66910464522 74344960580 76034618775 92931200725 101379491700 111517440870 133820929044 152069237550 167276161305 185862401450 223034881740 278793602175 304138475100 334552322610 371724802900 557587204350 669104645220 836380806525 1115174408700 1672761613050 3345523226100