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22378435680 = 253559790199
BaseRepresentation
bin10100110101110110…
…111101010001100000
32010202120222022122010
4110311312331101200
5331312334420210
614140331312520
71421362364466
oct246566752140
963676868563
1022378435680
119544052a47
1244065ab740
132158383123
141124130836
158ae982920
hex535dbd460

22378435680 has 96 divisors (see below), whose sum is σ = 71686944000. Its totient is φ = 5866429952.

The previous prime is 22378435669. The next prime is 22378435687. The reversal of 22378435680 is 8653487322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22378435687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366780 + ... + 423419.

It is an arithmetic number, because the mean of its divisors is an integer number (746739000).

Almost surely, 222378435680 is an apocalyptic number.

22378435680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22378435680 is an abundant number, since it is smaller than the sum of its proper divisors (49308508320).

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

22378435680 is a wasteful number, since it uses less digits than its factorization.

22378435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790276 (or 790268 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 22378435680 in words is "twenty-two billion, three hundred seventy-eight million, four hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 790199 1580398 2370597 3160796 3950995 4741194 6321592 7901990 9482388 11852985 12643184 15803980 18964776 23705970 25286368 31607960 37929552 46621741 47411940 63215920 75859104 93243482 94823880 126431840 139865223 186486964 189647760 233108705 279730446 372973928 379295520 466217410 559460892 699326115 745947856 932434820 1118921784 1398652230 1491895712 1864869640 2237843568 2797304460 3729739280 4475687136 5594608920 7459478560 11189217840 22378435680