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22250610000 = 243254247229
BaseRepresentation
bin10100101110001111…
…010101110101010000
32010102200110002202200
4110232033111311100
5331032124010000
614115523443200
71415251031043
oct245617256520
963380402680
1022250610000
119488986693
12438b826500
132137a49228
141111178c5a
158a3633500
hex52e3d5d50

22250610000 has 150 divisors (see below), whose sum is σ = 77813911890. Its totient is φ = 5933472000.

The previous prime is 22250609971. The next prime is 22250610017. The reversal of 22250610000 is 1605222.

22250610000 is a `hidden beast` number, since 2 + 2 + 2 + 50 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 14437464336 + 7813145664 = 120156^2 + 88392^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33615 + ... + 213614.

Almost surely, 222250610000 is an apocalyptic number.

22250610000 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 22250610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38906955945).

22250610000 is an abundant number, since it is smaller than the sum of its proper divisors (55563301890).

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

22250610000 is a wasteful number, since it uses less digits than its factorization.

22250610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247263 (or 247239 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

It can be divided in two parts, 22250 and 610000, that added together give a triangular number (632250 = T1124).

The spelling of 22250610000 in words is "twenty-two billion, two hundred fifty million, six hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 247229 494458 741687 988916 1236145 1483374 1977832 2225061 2472290 2966748 3708435 3955664 4450122 4944580 5933496 6180725 7416870 8900244 9889160 11125305 11866992 12361450 14833740 17800488 18542175 19778320 22250610 24722900 29667480 30903625 35600976 37084350 44501220 49445800 55626525 59334960 61807250 74168700 89002440 92710875 98891600 111253050 123614500 148337400 154518125 178004880 185421750 222506100 247229000 278132625 296674800 309036250 370843500 445012200 463554375 494458000 556265250 618072500 741687000 890024400 927108750 1112530500 1236145000 1390663125 1483374000 1854217500 2225061000 2472290000 2781326250 3708435000 4450122000 5562652500 7416870000 11125305000 22250610000