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2116774000 = 24531128747
BaseRepresentation
bin111111000101011…
…0110100001110000
312110112002021001001
41332022312201300
513313343232000
6550013451344
7103312165525
oct17612664160
95415067031
102116774000
11996955700
124b0aa0b54
13279711ac3
141611b514c
15c5c7c46a
hex7e2b6870

2116774000 has 120 divisors (see below), whose sum is σ = 5626608624. Its totient is φ = 769648000.

The previous prime is 2116773941. The next prime is 2116774001. The reversal of 2116774000 is 4776112.

It is a self number, because there is not a number n which added to its sum of digits gives 2116774000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116774001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237627 + ... + 246373.

Almost surely, 22116774000 is an apocalyptic number.

2116774000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813304312).

2116774000 is an abundant number, since it is smaller than the sum of its proper divisors (3509834624).

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

2116774000 is a wasteful number, since it uses less digits than its factorization.

2116774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 2116774000 is about 46008.4122742787. The cubic root of 2116774000 is about 1283.9797197264.

The spelling of 2116774000 in words is "two billion, one hundred sixteen million, seven hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 8747 9680 11000 12100 15125 17494 22000 24200 30250 34988 43735 48400 60500 69976 87470 96217 121000 139952 174940 192434 218675 242000 349880 384868 437350 481085 699760 769736 874700 962170 1058387 1093375 1539472 1749400 1924340 2116774 2186750 2405425 3498800 3848680 4233548 4373500 4810850 5291935 7697360 8467096 8747000 9621700 10583870 12027125 16934192 17494000 19243400 21167740 24054250 26459675 38486800 42335480 48108500 52919350 84670960 96217000 105838700 132298375 192434000 211677400 264596750 423354800 529193500 1058387000 2116774000