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2197109136 = 243292371471
BaseRepresentation
bin1000001011110101…
…0011100110010000
312200010020201010110
42002331103212100
513444424443021
61002003401320
7105306055665
oct20275234620
95603221113
102197109136
11a28235682
12513983240
1329025b8a1
1416bb27a6c
15ccd4a476
hex82f53990

2197109136 has 120 divisors (see below), whose sum is σ = 6041311744. Its totient is φ = 687536640.

The previous prime is 2197109119. The next prime is 2197109143. The reversal of 2197109136 is 6319017912.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2197109094 and 2197109103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492881 + ... + 1494351.

Almost surely, 22197109136 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 2197109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020655872).

2197109136 is an abundant number, since it is smaller than the sum of its proper divisors (3844202608).

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

2197109136 is a wasteful number, since it uses less digits than its factorization.

2197109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 2197109136 is about 46873.3307542786. The cubic root of 2197109136 is about 1300.0215254818.

The spelling of 2197109136 in words is "two billion, one hundred ninety-seven million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 841 888 1073 1392 1471 1682 1776 2146 2523 2942 3219 3364 4292 4413 5046 5884 6438 6728 8584 8826 10092 11768 12876 13456 17168 17652 20184 23536 25752 31117 35304 40368 42659 51504 54427 62234 70608 85318 93351 108854 124468 127977 163281 170636 186702 217708 248936 255954 326562 341272 373404 435416 497872 511908 653124 682544 746808 870832 1023816 1237111 1306248 1493616 1578383 2047632 2474222 2612496 3156766 3711333 4735149 4948444 6313532 7422666 9470298 9896888 12627064 14845332 18940596 19793776 25254128 29690664 37881192 45773107 59381328 75762384 91546214 137319321 183092428 274638642 366184856 549277284 732369712 1098554568 2197109136