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221221224240 = 24352161426541
BaseRepresentation
bin1100111000000111001…
…1111111111100110000
3210011000021202120110120
43032001303333330300
512111030113133430
6245343322330240
721661032244302
oct3160163777460
9704007676416
10221221224240
1185901683055
1236a5a659980
1317b26a0c9b3
14a9c865d972
155b4b51e610
hex3381cfff30

221221224240 has 80 divisors (see below), whose sum is σ = 686104750176. Its totient is φ = 58964889600.

The previous prime is 221221224227. The next prime is 221221224253. The reversal of 221221224240 is 42422122122.

It is an interprime number because it is at equal distance from previous prime (221221224227) and next prime (221221224253).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 221221224240.

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, 305370 + ... + 731910.

Almost surely, 2221221224240 is an apocalyptic number.

221221224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221224240 is an abundant number, since it is smaller than the sum of its proper divisors (464883525936).

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

221221224240 is a wasteful number, since it uses less digits than its factorization.

221221224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428718 (or 428712 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221221224240 its reverse (42422122122), we get a palindrome (263643346362).

The spelling of 221221224240 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2161 4322 6483 8644 10805 12966 17288 21610 25932 32415 34576 43220 51864 64830 86440 103728 129660 172880 259320 426541 518640 853082 1279623 1706164 2132705 2559246 3412328 4265410 5118492 6398115 6824656 8530820 10236984 12796230 17061640 20473968 25592460 34123280 51184920 102369840 921755101 1843510202 2765265303 3687020404 4608775505 5530530606 7374040808 9217551010 11061061212 13826326515 14748081616 18435102020 22122122424 27652653030 36870204040 44244244848 55305306060 73740408080 110610612120 221221224240