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2072089800 = 23325211104651
BaseRepresentation
bin111101110000001…
…1001010011001000
312100102000001211200
41323200121103020
513220423333200
6541340024200
7102230321064
oct17340312310
95312001750
102072089800
11973705810
12499b32060
13270398151
141592a2aa4
15c1da2800
hex7b8194c8

2072089800 has 144 divisors (see below), whose sum is σ = 7591456080. Its totient is φ = 502320000.

The previous prime is 2072089781. The next prime is 2072089861. The reversal of 2072089800 is 89802702.

It is a super-2 number, since 2×20720898002 = 8587112278528080000, which contains 22 as substring.

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

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, 32526 + ... + 72125.

It is an arithmetic number, because the mean of its divisors is an integer number (52718445).

Almost surely, 22072089800 is an apocalyptic number.

2072089800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072089800 is an abundant number, since it is smaller than the sum of its proper divisors (5519366280).

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

2072089800 is a wasteful number, since it uses less digits than its factorization.

2072089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104684 (or 104672 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2072089800 is about 45520.2130926471. The cubic root of 2072089800 is about 1274.8806347308.

The spelling of 2072089800 in words is "two billion, seventy-two million, eighty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 104651 209302 313953 418604 523255 627906 837208 941859 1046510 1151161 1255812 1569765 1883718 2093020 2302322 2511624 2616275 3139530 3453483 3767436 4186040 4604644 4709295 5232550 5755805 6279060 6906966 7534872 7848825 9209288 9418590 10360449 10465100 11511610 12558120 13813932 15697650 17267415 18837180 20720898 20930200 23023220 23546475 27627864 28779025 31395300 34534830 37674360 41441796 46046440 47092950 51802245 57558050 62790600 69069660 82883592 86337075 94185900 103604490 115116100 138139320 172674150 188371800 207208980 230232200 259011225 345348300 414417960 518022450 690696600 1036044900 2072089800