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2150733000 = 233531355147
BaseRepresentation
bin1000000000110001…
…1001010011001000
312112212222120000210
42000030121103020
513401041424000
6553225401120
7104203633413
oct20014312310
95485876023
102150733000
11a0403a599
125003391a0
13283771aa0
141658d4b7a
15c8c39350
hex803194c8

2150733000 has 128 divisors (see below), whose sum is σ = 7226593920. Its totient is φ = 529401600.

The previous prime is 2150732999. The next prime is 2150733001. The reversal of 2150733000 is 3370512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2150732999) and next prime (2150733001).

It is not an unprimeable number, because it can be changed into a prime (2150733001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11427 + ... + 66573.

It is an arithmetic number, because the mean of its divisors is an integer number (56457765).

Almost surely, 22150733000 is an apocalyptic number.

2150733000 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 2150733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613296960).

2150733000 is an abundant number, since it is smaller than the sum of its proper divisors (5075860920).

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

2150733000 is a wasteful number, since it uses less digits than its factorization.

2150733000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55184 (or 55170 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2150733000 is about 46375.9959461789. The cubic root of 2150733000 is about 1290.8095393405.

The spelling of 2150733000 in words is "two billion, one hundred fifty million, seven hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 55147 110294 165441 220588 275735 330882 441176 551470 661764 716911 827205 1102940 1323528 1378675 1433822 1654410 2150733 2205880 2757350 2867644 3308820 3584555 4136025 4301466 5514700 5735288 6617640 6893375 7169110 8272050 8602932 10753665 11029400 13786750 14338220 16544100 17205864 17922775 20680125 21507330 27573500 28676440 33088200 35845550 41360250 43014660 53768325 55147000 71691100 82720500 86029320 89613875 107536650 143382200 165441000 179227750 215073300 268841625 358455500 430146600 537683250 716911000 1075366500 2150733000