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2047223040 = 2835659809
BaseRepresentation
bin111101000000110…
…0010010100000000
312021200012201001120
41322001202110000
513143042114130
6535051032240
7101506052202
oct17201422400
95250181046
102047223040
11960670a75
1249173b680
1326819c7a5
14155c6c772
15beade910
hex7a062500

2047223040 has 144 divisors (see below), whose sum is σ = 6556334400. Its totient is φ = 544423936.

The previous prime is 2047223021. The next prime is 2047223051. The reversal of 2047223040 is 403227402.

It is a super-2 number, since 2×20472230402 = 8382244351013683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2047223040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530156 + ... + 2530964.

It is an arithmetic number, because the mean of its divisors is an integer number (45530100).

Almost surely, 22047223040 is an apocalyptic number.

2047223040 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 2047223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278167200).

2047223040 is an abundant number, since it is smaller than the sum of its proper divisors (4509111360).

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

2047223040 is an equidigital number, since it uses as much as digits as its factorization.

2047223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2047223040 is about 45246.2489052960. The cubic root of 2047223040 is about 1269.7602291890.

The spelling of 2047223040 in words is "two billion, forty-seven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 659 768 809 960 1280 1318 1618 1920 1977 2427 2636 3236 3295 3840 3954 4045 4854 5272 6472 6590 7908 8090 9708 9885 10544 12135 12944 13180 15816 16180 19416 19770 21088 24270 25888 26360 31632 32360 38832 39540 42176 48540 51776 52720 63264 64720 77664 79080 84352 97080 103552 105440 126528 129440 155328 158160 168704 194160 207104 210880 253056 258880 310656 316320 388320 421760 506112 517760 533131 621312 632640 776640 843520 1035520 1066262 1265280 1553280 1599393 2132524 2530560 2665655 3106560 3198786 4265048 5331310 6397572 7996965 8530096 10662620 12795144 15993930 17060192 21325240 25590288 31987860 34120384 42650480 51180576 63975720 68240768 85300960 102361152 127951440 136481536 170601920 204722304 255902880 341203840 409444608 511805760 682407680 1023611520 2047223040