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3750221640 = 2335117935963
BaseRepresentation
bin1101111110000111…
…1101011101001000
3100200100200222221210
43133201331131020
530140024043030
61420044133120
7161635233534
oct33741753510
910610628853
103750221640
1116549a2030
12887b371a0
13479c58b79
142780d4bc4
1516e386bb0
hexdf87d748

3750221640 has 128 divisors (see below), whose sum is σ = 12429158400. Its totient is φ = 897611520.

The previous prime is 3750221611. The next prime is 3750221659. The reversal of 3750221640 is 461220573.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3750221598 and 3750221607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86299 + ... + 122261.

It is an arithmetic number, because the mean of its divisors is an integer number (97102800).

Almost surely, 23750221640 is an apocalyptic number.

3750221640 is a gapful number since it is divisible by the number (30) 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 3750221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214579200).

3750221640 is an abundant number, since it is smaller than the sum of its proper divisors (8678936760).

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

3750221640 is a wasteful number, since it uses less digits than its factorization.

3750221640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36067 (or 36063 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3750221640 is about 61239.0532258623. The cubic root of 3750221640 is about 1553.6468606856.

The spelling of 3750221640 in words is "three billion, seven hundred fifty million, two hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 35963 52140 71926 104280 107889 143852 179815 215778 287704 359630 395593 431556 539445 719260 791186 863112 1078890 1186779 1438520 1582372 1977965 2157780 2373558 2841077 3164744 3955930 4315560 4747116 5682154 5933895 7911860 8523231 9494232 11364308 11867790 14205385 15823720 17046462 22728616 23735580 28410770 31251847 34092924 42616155 47471160 56821540 62503694 68185848 85232310 93755541 113643080 125007388 156259235 170464620 187511082 250014776 312518470 340929240 375022164 468777705 625036940 750044328 937555410 1250073880 1875110820 3750221640