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4242226176 = 21033153437
BaseRepresentation
bin1111110011011011…
…0011110000000000
3101221122111102022000
43330312303300000
532142002214201
61540541344000
7210061220226
oct37466636000
911848442260
104242226176
111887698351
129a4868000
13527b71906
142c35a8b16
1519c670d86
hexfcdb3c00

4242226176 has 88 divisors (see below), whose sum is σ = 12563503440. Its totient is φ = 1414066176.

The previous prime is 4242226147. The next prime is 4242226199. The reversal of 4242226176 is 6716222424.

4242226176 is a `hidden beast` number, since 42 + 422 + 26 + 176 = 666.

4242226176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42422261763 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4242226176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49071 + ... + 104366.

Almost surely, 24242226176 is an apocalyptic number.

It is an amenable number.

4242226176 is an abundant number, since it is smaller than the sum of its proper divisors (8321277264).

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

4242226176 is a wasteful number, since it uses less digits than its factorization.

4242226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153466 (or 153442 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4242226176 is about 65132.3742542831. The cubic root of 4242226176 is about 1618.8176832788.

The spelling of 4242226176 in words is "four billion, two hundred forty-two million, two hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 153437 306874 460311 613748 920622 1227496 1380933 1841244 2454992 2761866 3682488 4142799 4909984 5523732 7364976 8285598 9819968 11047464 14729952 16571196 19639936 22094928 29459904 33142392 39279872 44189856 58919808 66284784 78559744 88379712 117839616 132569568 157119488 176759424 235679232 265139136 353518848 471358464 530278272 707037696 1060556544 1414075392 2121113088 4242226176